57502935458761 has 27 divisors (see below), whose sum is σ = 62697814326567. Its totient is φ = 52714462460400.

The previous prime is 57502935458737. The next prime is 57502935458777. The reversal of 57502935458761 is 16785453920575.

It is a happy number.

The square root of 57502935458761 is 7583069.

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

It can be written as a sum of positive squares in only one way, i.e., 8506351399225 + 48996584059536 = 2916565^2 + 6999756^2 .

It is not a de Polignac number, because 57502935458761 - 2¹¹ = 57502935456713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57502935458161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14885562516 + ... + 14885566378.

It is a 1-persistent number, because it is pandigital, but 2⋅57502935458761 = 115005870917522 is not.

Almost surely, 2^{57502935458761} is an apocalyptic number.

57502935458761 is the 7583069-th square number.

57502935458761 is the 3791535-th centered octagonal number.

It is an amenable number.

57502935458761 is a deficient number, since it is larger than the sum of its proper divisors (5194878867806).

57502935458761 is an frugal number, since it uses more digits than its factorization.

57502935458761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 317520000, while the sum is 67.

The spelling of 57502935458761 in words is "fifty-seven trillion, five hundred two billion, nine hundred thirty-five million, four hundred fifty-eight thousand, seven hundred sixty-one".