57258633617 has 2 divisors, whose sum is σ = 57258633618. Its totient is φ = 57258633616.

The previous prime is 57258633587. The next prime is 57258633629. The reversal of 57258633617 is 71633685275.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35060315536 + 22198318081 = 187244^2 + 148991^2 .

It is a cyclic number.

It is not a de Polignac number, because 57258633617 - 2²² = 57254439313 is a prime.

It is a super-2 number, since 2×57258633617² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57258633637) 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 as a sum of consecutive naturals, namely, 28629316808 + 28629316809.

It is an arithmetic number, because the mean of its divisors is an integer number (28629316809).

Almost surely, 2^57258633617 is an apocalyptic number.

It is an amenable number.

57258633617 is a deficient number, since it is larger than the sum of its proper divisors (1).

57258633617 is an equidigital number, since it uses as much as digits as its factorization.

57258633617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6350400, while the sum is 53.

The spelling of 57258633617 in words is "fifty-seven billion, two hundred fifty-eight million, six hundred thirty-three thousand, six hundred seventeen".