51264128 has 64 divisors (see below), whose sum is σ = 109058400. Its totient is φ = 23933952.

The previous prime is 51264107. The next prime is 51264133. The reversal of 51264128 is 82146215.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 51264128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260126 + ... + 260322.

Almost surely, 2^51264128 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 51264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54529200).

51264128 is an abundant number, since it is smaller than the sum of its proper divisors (57794272).

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

51264128 is a wasteful number, since it uses less digits than its factorization.

51264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 51264128 is about 7159.8972059660. The cubic root of 51264128 is about 371.4820710764.

The spelling of 51264128 in words is "fifty-one million, two hundred sixty-four thousand, one hundred twenty-eight".