56985201 has 56 divisors (see below), whose sum is σ = 105277760. Its totient is φ = 30023136.

The previous prime is 56985169. The next prime is 56985221. The reversal of 56985201 is 10258965.

It is a happy number.

56985201 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 56985201 - 2⁵ = 56985169 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56985221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65910 + ... + 66768.

It is an arithmetic number, because the mean of its divisors is an integer number (1879960).

Almost surely, 2^56985201 is an apocalyptic number.

It is an amenable number.

56985201 is a deficient number, since it is larger than the sum of its proper divisors (48292559).

56985201 is an equidigital number, since it uses as much as digits as its factorization.

56985201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56985201 is about 7548.8542839294. The cubic root of 56985201 is about 384.8168038306.

The spelling of 56985201 in words is "fifty-six million, nine hundred eighty-five thousand, two hundred one".