51516864 has 112 divisors (see below), whose sum is σ = 173126400. Its totient is φ = 14715648.

The previous prime is 51516833. The next prime is 51516877. The reversal of 51516864 is 46861515.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 9967 + ... + 14225.

Almost surely, 2^51516864 is an apocalyptic number.

51516864 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 51516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86563200).

51516864 is an abundant number, since it is smaller than the sum of its proper divisors (121609536).

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

51516864 is a wasteful number, since it uses less digits than its factorization.

51516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4271 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 51516864 is about 7177.5249215868. The cubic root of 51516864 is about 372.0915487480.

The spelling of 51516864 in words is "fifty-one million, five hundred sixteen thousand, eight hundred sixty-four".