51508632 has 64 divisors (see below), whose sum is σ = 149068800. Its totient is φ = 14526720.

The previous prime is 51508631. The next prime is 51508679. The reversal of 51508632 is 23680515.

51508632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51508632² = 5306278341022848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51508632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51508631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11332 + ... + 15212.

It is an arithmetic number, because the mean of its divisors is an integer number (2329200).

Almost surely, 2^51508632 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 51508632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74534400).

51508632 is an abundant number, since it is smaller than the sum of its proper divisors (97560168).

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

51508632 is a wasteful number, since it uses less digits than its factorization.

51508632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 51508632 is about 7176.9514419425. The cubic root of 51508632 is about 372.0717285665.

The spelling of 51508632 in words is "fifty-one million, five hundred eight thousand, six hundred thirty-two".