57288901201 has 27 divisors (see below), whose sum is σ = 68923773513. Its totient is φ = 47477664360.

The previous prime is 57288901183. The next prime is 57288901207. The reversal of 57288901201 is 10210988275.

It is a happy number.

The square root of 57288901201 is 239351.

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

57288901201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57288901201 - 2⁵ = 57288901169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57288901207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51938616 + ... + 51939718.

Almost surely, 2^57288901201 is an apocalyptic number.

57288901201 is the 239351-st square number.

57288901201 is the 119676-th centered octagonal number.

It is an amenable number.

57288901201 is a deficient number, since it is larger than the sum of its proper divisors (11634872312).

57288901201 is an frugal number, since it uses more digits than its factorization.

57288901201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 57288901201 in words is "fifty-seven billion, two hundred eighty-eight million, nine hundred one thousand, two hundred one".