57259008001 has 16 divisors (see below), whose sum is σ = 64382282496. Its totient is φ = 50526818496.

The previous prime is 57259007969. The next prime is 57259008013. The reversal of 57259008001 is 10080095275.

It is a cyclic number.

It is not a de Polignac number, because 57259008001 - 2⁵ = 57259007969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57259008041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462916 + ... + 573418.

It is an arithmetic number, because the mean of its divisors is an integer number (4023892656).

Almost surely, 2^57259008001 is an apocalyptic number.

It is an amenable number.

57259008001 is a deficient number, since it is larger than the sum of its proper divisors (7123274495).

57259008001 is a wasteful number, since it uses less digits than its factorization.

57259008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112272.

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 57259008001 in words is "fifty-seven billion, two hundred fifty-nine million, eight thousand, one".