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52253766735225 = 35211174019291169
BaseRepresentation
bin10111110000110010001110…
…01101000101010101111001
320212000102002211212221120020
423320121013031011111321
523322111203241011400
6303045014332121053
714002132023531246
oct1370310715052571
9225012084787506
1052253766735225
1115716775084040
125a3b168906189
132320680534633
14cc914ac5c5cd
156093914a12a0
hex2f8647345579

52253766735225 has 96 divisors (see below), whose sum is σ = 100039588306560. Its totient is φ = 23785390080000.

The previous prime is 52253766735067. The next prime is 52253766735253.

52253766735225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52253766735225 - 29 = 52253766734713 is a prime.

It is a super-2 number, since 2×522537667352252 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978441 + ... + 10269609.

It is an arithmetic number, because the mean of its divisors is an integer number (1042079044860).

Almost surely, 252253766735225 is an apocalyptic number.

52253766735225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52253766735225 is a deficient number, since it is larger than the sum of its proper divisors (47785821571335).

52253766735225 is a wasteful number, since it uses less digits than its factorization.

52253766735225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291611 (or 9291606 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 60.

The spelling of 52253766735225 in words is "fifty-two trillion, two hundred fifty-three billion, seven hundred sixty-six million, seven hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 165 187 255 275 401 425 561 825 935 1203 1275 2005 2805 4411 4675 6015 6817 10025 13233 14025 20451 22055 30075 34085 66165 74987 102255 110275 170425 224961 330825 374935 511275 1124805 1874675 5624025 9291169 27873507 46455845 102202859 139367535 157949873 232279225 306608577 473849619 511014295 696837675 789749365 1533042885 1737448603 2369248095 2555071475 3725758769 3948746825 5212345809 7665214425 8687243015 11177276307 11846240475 18628793845 26061729045 40983346459 43436215075 55886381535 63337899073 93143969225 122950039377 130308645225 190013697219 204916732295 279431907675 316689495365 614750196885 696716889803 950068486095 1024583661475 1583447476825 2090150669409 3073750984425 3483584449015 4750342430475 10450753347045 17417922245075 52253766735225