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525421433130 = 2351123346314759
BaseRepresentation
bin1111010010101011000…
…11101101000100101010
31212020012112010022121220
413221111203231010222
532102030341330010
61041213020442510
752650301330626
oct7512543550452
91766175108556
10525421433130
11192914779470
12859b66a9436
133a715a8b3b9
141b605550186
15da027ee970
hex7a558ed12a

525421433130 has 128 divisors (see below), whose sum is σ = 1384630640640. Its totient is φ = 126545717760.

The previous prime is 525421433099. The next prime is 525421433149. The reversal of 525421433130 is 31334124525.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 525421433091 and 525421433100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35592691 + ... + 35607449.

It is an arithmetic number, because the mean of its divisors is an integer number (10817426880).

Almost surely, 2525421433130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525421433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692315320320).

525421433130 is an abundant number, since it is smaller than the sum of its proper divisors (859209207510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525421433130 is a wasteful number, since it uses less digits than its factorization.

525421433130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 525421433130 its reverse (31334124525), we get a palindrome (556755557655).

The spelling of 525421433130 in words is "five hundred twenty-five billion, four hundred twenty-one million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 330 463 466 699 926 1165 1389 1398 2315 2330 2563 2778 3495 4630 5093 5126 6945 6990 7689 10186 12815 13890 14759 15279 15378 25465 25630 29518 30558 38445 44277 50930 73795 76395 76890 88554 107879 147590 152790 162349 215758 221385 323637 324698 442770 487047 539395 647274 811745 974094 1078790 1186669 1618185 1623490 2373338 2435235 3236370 3438847 3560007 4870470 5933345 6833417 6877694 7120014 10316541 11866690 13666834 17194235 17800035 20500251 20633082 34167085 34388470 35600070 37827317 41000502 51582705 68334170 75167587 75654634 102501255 103165410 113481951 150335174 189136585 205002510 225502761 226963902 375837935 378273170 451005522 567409755 751675870 1127513805 1134819510 1592186161 2255027610 3184372322 4776558483 7960930805 9553116966 15921861610 17514047771 23882792415 35028095542 47765584830 52542143313 87570238855 105084286626 175140477710 262710716565 525421433130