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521252252125 = 531110710513371
BaseRepresentation
bin1111001010111010000…
…11100010100111011101
31211211102222001222110121
413211131003202213131
532020011034032000
61035243204434541
752442055016153
oct7453503424735
91754388058417
10521252252125
11191075342030
12850323a8a51
133a2000b33a7
141b32b95b3d3
15d85b7abb1a
hex795d0e29dd

521252252125 has 64 divisors (see below), whose sum is σ = 717187820544. Its totient is φ = 375081000000.

The previous prime is 521252252117. The next prime is 521252252137.

521252252125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521252252125 - 23 = 521252252117 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 154626690 + ... + 154630060.

It is an arithmetic number, because the mean of its divisors is an integer number (11206059696).

Almost surely, 2521252252125 is an apocalyptic number.

521252252125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521252252125 is a deficient number, since it is larger than the sum of its proper divisors (195935568419).

521252252125 is a wasteful number, since it uses less digits than its factorization.

521252252125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4545 counting only the distinct ones).

The product of its digits is 40000, while the sum is 34.

It can be divided in two parts, 521252 and 252125, that added together give a palindrome (773377).

The spelling of 521252252125 in words is "five hundred twenty-one billion, two hundred fifty-two million, two hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 107 125 275 535 1051 1177 1375 2675 3371 5255 5885 11561 13375 16855 26275 29425 37081 57805 84275 112457 131375 147125 185405 289025 360697 421375 562285 927025 1237027 1445125 1803485 2811425 3542921 3967667 4635125 6185135 9017425 14057125 17714605 19838335 30925675 38972131 45087125 88573025 99191675 154628375 194860655 379092547 442865125 495958375 974303275 1895462735 4170018017 4871516375 9477313675 20850090085 47386568375 104250450425 521252252125