51813504 has 96 divisors (see below), whose sum is σ = 152874540. Its totient is φ = 16834560.

The previous prime is 51813499. The next prime is 51813511. The reversal of 51813504 is 40531815.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 7617600 = 6648^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46684 + ... + 47780.

Almost surely, 2^51813504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76437270).

51813504 is an abundant number, since it is smaller than the sum of its proper divisors (101061036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51813504 is a wasteful number, since it uses less digits than its factorization.

51813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51813504 is about 7198.1597648288. The cubic root of 51813504 is about 372.8043642462.

The spelling of 51813504 in words is "fifty-one million, eight hundred thirteen thousand, five hundred four".