57752962614369 has 135 divisors (see below), whose sum is σ = 98248776396771. Its totient is φ = 33782069835360.

The previous prime is 57752962614331. The next prime is 57752962614379. The reversal of 57752962614369 is 96341626925775.

The square root of 57752962614369 is 7599537.

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

57752962614369 is a `hidden beast` number, since 5 + 7 + 7 + 529 + 6 + 2 + 61 + 4 + 36 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30284252690769 + 27468709923600 = 5503113^2 + 5241060^2 .

It is a de Polignac number, because none of the positive numbers 2^k-57752962614369 is a prime.

It is a super-2 number, since 2×57752962614369² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57752962614297 and 57752962614306.

It is not an unprimeable number, because it can be changed into a prime (57752962614379) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21818269404 + ... + 21818272050.

Almost surely, 2^{57752962614369} is an apocalyptic number.

57752962614369 is the 7599537-th square number.

57752962614369 is the 3799769-th centered octagonal number.

It is an amenable number.

57752962614369 is a deficient number, since it is larger than the sum of its proper divisors (40495813782402).

57752962614369 is an frugal number, since it uses more digits than its factorization.

57752962614369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 2690 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 57752962614369 in words is "fifty-seven trillion, seven hundred fifty-two billion, nine hundred sixty-two million, six hundred fourteen thousand, three hundred sixty-nine".