51561952 has 96 divisors (see below), whose sum is σ = 121165632. Its totient is φ = 21356544.

The previous prime is 51561919. The next prime is 51561973. The reversal of 51561952 is 25916515.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162498 + ... + 162814.

It is an arithmetic number, because the mean of its divisors is an integer number (1262142).

Almost surely, 2^51561952 is an apocalyptic number.

51561952 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 51561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60582816).

51561952 is an abundant number, since it is smaller than the sum of its proper divisors (69603680).

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

51561952 is a wasteful number, since it uses less digits than its factorization.

51561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its digits is 13500, while the sum is 34.

The square root of 51561952 is about 7180.6651502490. The cubic root of 51561952 is about 372.2000696634.

The spelling of 51561952 in words is "fifty-one million, five hundred sixty-one thousand, nine hundred fifty-two".