51538320 has 120 divisors (see below), whose sum is σ = 176881536. Its totient is φ = 13442304.

The previous prime is 51538309. The next prime is 51538321. The reversal of 51538320 is 2383515.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (51538321) 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, 33079 + ... + 34601.

Almost surely, 2^51538320 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 51538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

51538320 is an abundant number, since it is smaller than the sum of its proper divisors (125343216).

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

51538320 is a wasteful number, since it uses less digits than its factorization.

51538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51538320 is about 7179.0194316494. The cubic root of 51538320 is about 372.1431984252.

The spelling of 51538320 in words is "fifty-one million, five hundred thirty-eight thousand, three hundred twenty".