51538968 has 192 divisors, whose sum is σ = 165110400. Its totient is φ = 14376960.

The previous prime is 51538967. The next prime is 51538973. The reversal of 51538968 is 86983515.

51538968 is a `hidden beast` number, since 51 + 538 + 9 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (259200) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51538967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652353 + ... + 652431.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^51538968 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 51538968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

51538968 is an abundant number, since it is smaller than the sum of its proper divisors (113571432).

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

51538968 is a wasteful number, since it uses less digits than its factorization.

51538968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 51538968 is about 7179.0645630193. The cubic root of 51538968 is about 372.1447580917.

The spelling of 51538968 in words is "fifty-one million, five hundred thirty-eight thousand, nine hundred sixty-eight".