57115601 has 12 divisors (see below), whose sum is σ = 60354420. Its totient is φ = 54040800.

The previous prime is 57115589. The next prime is 57115621. The reversal of 57115601 is 10651175.

It can be written as a sum of positive squares in 2 ways, for example, as 43573201 + 13542400 = 6601^2 + 3680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-57115601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57115621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52895 + ... + 53963.

It is an arithmetic number, because the mean of its divisors is an integer number (5029535).

Almost surely, 2^57115601 is an apocalyptic number.

It is an amenable number.

57115601 is a deficient number, since it is larger than the sum of its proper divisors (3238819).

57115601 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 57115601 = (17165015)₁₂.

57115601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 57115601 is about 7557.4864207619. The cubic root of 57115601 is about 385.1101073725.

Adding to 57115601 its reverse (10651175), we get a palindrome (67766776).

The spelling of 57115601 in words is "fifty-seven million, one hundred fifteen thousand, six hundred one".