51132960 has 72 divisors (see below), whose sum is σ = 174496140. Its totient is φ = 13635072.

The previous prime is 51132959. The next prime is 51132973. The reversal of 51132960 is 6923115.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 4511376 = 6828^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51132960² = 5229159196723200, which contains 22 as substring.

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, 16315 + ... + 19194.

Almost surely, 2^51132960 is an apocalyptic number.

It is an amenable number.

51132960 is an abundant number, since it is smaller than the sum of its proper divisors (123363180).

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

51132960 is a wasteful number, since it uses less digits than its factorization.

51132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35530 (or 35519 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51132960 is about 7150.7314311195. The cubic root of 51132960 is about 371.1649670911.

The spelling of 51132960 in words is "fifty-one million, one hundred thirty-two thousand, nine hundred sixty".