51584952 has 64 divisors (see below), whose sum is σ = 135924480. Its totient is φ = 16282112.

The previous prime is 51584933. The next prime is 51584959. The reversal of 51584952 is 25948515.

It is a super-2 number, since 2×51584952² = 5322014545684608, 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 51584952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51584959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61963 + ... + 62789.

It is an arithmetic number, because the mean of its divisors is an integer number (2123820).

Almost surely, 2^51584952 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 51584952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67962240).

51584952 is an abundant number, since it is smaller than the sum of its proper divisors (84339528).

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

51584952 is a wasteful number, since it uses less digits than its factorization.

51584952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 51584952 is about 7182.2664946380. The cubic root of 51584952 is about 372.2554032878.

The spelling of 51584952 in words is "fifty-one million, five hundred eighty-four thousand, nine hundred fifty-two".