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57338697025 = 528325772
BaseRepresentation
bin110101011001101001…
…110001010101000001
312111000000212121101101
4311121221301111001
51414412201301100
642201355134401
74066622611621
oct653151612501
9174000777341
1057338697025
1122354221815
12b142744401
13553a2a21bc
142abd254881
151758cb386a
hexd59a71541

57338697025 has 27 divisors (see below), whose sum is σ = 72091873641. Its totient is φ = 45239754240.

The previous prime is 57338697023. The next prime is 57338697049. The reversal of 57338697025 is 52079683375.

The square root of 57338697025 is 239455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16189763121 + 41148933904 = 127239^2 + 202852^2 .

It is not a de Polignac number, because 57338697025 - 21 = 57338697023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57338697023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99373537 + ... + 99374113.

Almost surely, 257338697025 is an apocalyptic number.

57338697025 is the 239455-th square number.

57338697025 is the 119728-th centered octagonal number.

It is an amenable number.

57338697025 is a deficient number, since it is larger than the sum of its proper divisors (14753176616).

57338697025 is an frugal number, since it uses more digits than its factorization.

57338697025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 57338697025 in words is "fifty-seven billion, three hundred thirty-eight million, six hundred ninety-seven thousand, twenty-five".

Divisors: 1 5 25 83 415 577 2075 2885 6889 14425 34445 47891 172225 239455 332929 1197275 1664645 3974953 8323225 19874765 27633107 99373825 138165535 690827675 2293547881 11467739405 57338697025