51038064 has 120 divisors (see below), whose sum is σ = 178119552. Its totient is φ = 13253760.

The previous prime is 51038011. The next prime is 51038069. The reversal of 51038064 is 46083015.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51038069) 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, 8787 + ... + 13389.

Almost surely, 2^51038064 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 51038064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89059776).

51038064 is an abundant number, since it is smaller than the sum of its proper divisors (127081488).

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

51038064 is a wasteful number, since it uses less digits than its factorization.

51038064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51038064 is about 7144.0929445242. The cubic root of 51038064 is about 370.9352138988.

The spelling of 51038064 in words is "fifty-one million, thirty-eight thousand, sixty-four".