51661952 has 32 divisors (see below), whose sum is σ = 103559580. Its totient is φ = 25670656.

The previous prime is 51661921. The next prime is 51661999. The reversal of 51661952 is 25916615.

It can be written as a sum of positive squares in 2 ways, for example, as 50353216 + 1308736 = 7096^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20978 + ... + 23310.

Almost surely, 2^51661952 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 51661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51779790).

51661952 is an abundant number, since it is smaller than the sum of its proper divisors (51897628).

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

51661952 is a wasteful number, since it uses less digits than its factorization.

51661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2508 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 51661952 is about 7187.6249206536. The cubic root of 51661952 is about 372.4405310226.

The spelling of 51661952 in words is "fifty-one million, six hundred sixty-one thousand, nine hundred fifty-two".