51564348 has 72 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 15353760.

The previous prime is 51564323. The next prime is 51564361. The reversal of 51564348 is 84346515.

It is a happy number.

51564348 is a `hidden beast` number, since 5 + 1 + 5 + 643 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22261 + ... + 24467.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 2^51564348 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 51564348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).

51564348 is an abundant number, since it is smaller than the sum of its proper divisors (93103812).

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

51564348 is a wasteful number, since it uses less digits than its factorization.

51564348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2282 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 51564348 is about 7180.8319852229. The cubic root of 51564348 is about 372.2058347513.

The spelling of 51564348 in words is "fifty-one million, five hundred sixty-four thousand, three hundred forty-eight".