51658632 has 48 divisors (see below), whose sum is σ = 140316540. Its totient is φ = 17169408.

The previous prime is 51658627. The next prime is 51658639. The reversal of 51658632 is 23685615.

51658632 is a `hidden beast` number, since 5 + 16 + 5 + 8 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46703556 + 4955076 = 6834^2 + 2226^2 .

It is a super-2 number, since 2×51658632² = 5337228520222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51658639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30348 + ... + 32004.

Almost surely, 2^51658632 is an apocalyptic number.

It is an amenable number.

51658632 is an abundant number, since it is smaller than the sum of its proper divisors (88657908).

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

51658632 is a wasteful number, since it uses less digits than its factorization.

51658632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2095 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 51658632 is about 7187.3939644352. The cubic root of 51658632 is about 372.4325526878.

The spelling of 51658632 in words is "fifty-one million, six hundred fifty-eight thousand, six hundred thirty-two".