51756264 has 96 divisors (see below), whose sum is σ = 161915520. Its totient is φ = 14629248.

The previous prime is 51756253. The next prime is 51756269. The reversal of 51756264 is 46265715.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51756269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51414 + ... + 52410.

It is an arithmetic number, because the mean of its divisors is an integer number (1686620).

Almost surely, 2^51756264 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 51756264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80957760).

51756264 is an abundant number, since it is smaller than the sum of its proper divisors (110159256).

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

51756264 is a wasteful number, since it uses less digits than its factorization.

51756264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51756264 is about 7194.1826498915. The cubic root of 51756264 is about 372.6670307773.

The spelling of 51756264 in words is "fifty-one million, seven hundred fifty-six thousand, two hundred sixty-four".