51501632 has 112 divisors (see below), whose sum is σ = 129722880. Its totient is φ = 19740672.

The previous prime is 51501587. The next prime is 51501661. The reversal of 51501632 is 23610515.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 51501598 and 51501607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215369 + ... + 215607.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^51501632 is an apocalyptic number.

51501632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861440).

51501632 is an abundant number, since it is smaller than the sum of its proper divisors (78221248).

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

51501632 is a wasteful number, since it uses less digits than its factorization.

51501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 51501632 is about 7176.4637531308. The cubic root of 51501632 is about 372.0548730092.

The spelling of 51501632 in words is "fifty-one million, five hundred one thousand, six hundred thirty-two".