51766564 has 48 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 22795776.

The previous prime is 51766549. The next prime is 51766571. The reversal of 51766564 is 46566715.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132882 + ... + 133270.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^51766564 is an apocalyptic number.

It is an amenable number.

51766564 is a deficient number, since it is larger than the sum of its proper divisors (50444636).

51766564 is a wasteful number, since it uses less digits than its factorization.

51766564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 51766564 is about 7194.8984704442. The cubic root of 51766564 is about 372.6917505923.

It can be divided in two parts, 517 and 66564, that added together give a square (67081 = 259²).

The spelling of 51766564 in words is "fifty-one million, seven hundred sixty-six thousand, five hundred sixty-four".