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5265885625 = 547111319443
BaseRepresentation
bin1001110011101111…
…10000100110111001
3111120222200201001221
410321313300212321
541241031320000
62230310112041
7244331201140
oct47167604671
914528621057
105265885625
1122625008a0
12102b64b621
1365bc73a70
1437d514757
1520c47761a
hex139df09b9

5265885625 has 160 divisors (see below), whose sum is σ = 9321016320. Its totient is φ = 2864160000.

The previous prime is 5265885617. The next prime is 5265885629.

5265885625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5265885625 - 23 = 5265885617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5265885629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11886654 + ... + 11887096.

It is an arithmetic number, because the mean of its divisors is an integer number (58256352).

Almost surely, 25265885625 is an apocalyptic number.

5265885625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5265885625 is a deficient number, since it is larger than the sum of its proper divisors (4055130695).

5265885625 is a wasteful number, since it uses less digits than its factorization.

5265885625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 52.

The square root of 5265885625 is about 72566.4221592880. The cubic root of 5265885625 is about 1739.7645368830.

The spelling of 5265885625 in words is "five billion, two hundred sixty-five million, eight hundred eighty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 13 19 25 35 55 65 77 91 95 125 133 143 175 209 247 275 325 385 443 455 475 625 665 715 875 1001 1045 1235 1375 1463 1625 1729 1925 2215 2275 2375 2717 3101 3325 3575 4375 4873 5005 5225 5759 6175 6875 7315 8125 8417 8645 9625 11075 11375 11875 13585 15505 16625 17875 19019 24365 25025 26125 28795 30875 34111 36575 40313 42085 43225 48125 55375 56875 58919 63349 67925 77525 83125 89375 92587 95095 109421 121825 125125 130625 143975 154375 170555 182875 201565 210425 216125 276875 294595 316745 339625 387625 443443 462935 475475 547105 609125 625625 648109 719875 765947 852775 914375 1007825 1052125 1080625 1203631 1472975 1583725 1698125 1938125 2217215 2314675 2377375 2735525 3045625 3240545 3599375 3829735 4263875 5039125 5260625 6018155 7364875 7918625 8425417 11086075 11573375 11886875 13677625 16202725 19148675 21319375 25195625 30090775 36824375 39593125 42127085 55430375 57866875 68388125 81013625 95743375 150453875 210635425 277151875 405068125 478716875 752269375 1053177125 5265885625