57777256161 has 27 divisors (see below), whose sum is σ = 88100531571. Its totient is φ = 36482245344.

The previous prime is 57777256151. The next prime is 57777256171. The reversal of 57777256161 is 16165277775.

The square root of 57777256161 is 240369.

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

57777256161 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 72 + 561 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (57777256151) and next prime (57777256171).

It can be written as a sum of positive squares in only one way, i.e., 51336230625 + 6441025536 = 226575^2 + 80256^2 .

It is a de Polignac number, because none of the positive numbers 2^k-57777256161 is a prime.

It is a super-2 number, since 2×57777256161² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57777256098 and 57777256107.

It is not an unprimeable number, because it can be changed into a prime (57777256151) 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, 13698925 + ... + 13703141.

Almost surely, 2^57777256161 is an apocalyptic number.

57777256161 is the 240369-th square number.

57777256161 is the 120185-th centered octagonal number.

It is an amenable number.

57777256161 is a deficient number, since it is larger than the sum of its proper divisors (30323275410).

57777256161 is an frugal number, since it uses more digits than its factorization.

57777256161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 4239 counting only the distinct ones).

The product of its digits is 4321800, while the sum is 54.

The spelling of 57777256161 in words is "fifty-seven billion, seven hundred seventy-seven million, two hundred fifty-six thousand, one hundred sixty-one".