51185304 has 64 divisors (see below), whose sum is σ = 148377600. Its totient is φ = 16318368.

The previous prime is 51185293. The next prime is 51185311. The reversal of 51185304 is 40358115.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 184 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2^51185304 is an apocalyptic number.

51185304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51185304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74188800).

51185304 is an abundant number, since it is smaller than the sum of its proper divisors (97192296).

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

51185304 is a wasteful number, since it uses less digits than its factorization.

51185304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10331 counting only the distinct ones).

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

The square root of 51185304 is about 7154.3905400810. The cubic root of 51185304 is about 371.2915757948.

The spelling of 51185304 in words is "fifty-one million, one hundred eighty-five thousand, three hundred four".