51372585 has 48 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 24520320.

The previous prime is 51372577. The next prime is 51372641. The reversal of 51372585 is 58527315.

51372585 is a `hidden beast` number, since 5 + 1 + 3 + 72 + 585 = 666.

51372585 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 51372585 - 2³ = 51372577 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32391 + ... + 33939.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^51372585 is an apocalyptic number.

51372585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51372585 is a deficient number, since it is larger than the sum of its proper divisors (47281815).

51372585 is a wasteful number, since it uses less digits than its factorization.

51372585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1635 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 51372585 is about 7167.4671258402. The cubic root of 51372585 is about 371.7438620066.

The spelling of 51372585 in words is "fifty-one million, three hundred seventy-two thousand, five hundred eighty-five".