57961575 has 144 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 25038720.

The previous prime is 57961531. The next prime is 57961591. The reversal of 57961575 is 57516975.

It is a happy number.

57961575 is a `hidden beast` number, since 5 + 79 + 6 + 1 + 575 = 666.

It is not a de Polignac number, because 57961575 - 2¹⁶ = 57896039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57961575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1233202 + ... + 1233248.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^57961575 is an apocalyptic number.

57961575 is the 3807-th decagonal number.

57961575 is an abundant number, since it is smaller than the sum of its proper divisors (72030105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57961575 is a wasteful number, since it uses less digits than its factorization.

57961575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its digits is 330750, while the sum is 45.

The square root of 57961575 is about 7613.2499630578. The cubic root of 57961575 is about 387.0021633194.

The spelling of 57961575 in words is "fifty-seven million, nine hundred sixty-one thousand, five hundred seventy-five".