51585152 has 32 divisors (see below), whose sum is σ = 108181200. Its totient is φ = 24433920.

The previous prime is 51585151. The next prime is 51585167. The reversal of 51585152 is 25158515.

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

It is a super-2 number, since 2×51585152² = 5322055813726208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (51585151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8174 + ... + 13037.

Almost surely, 2^51585152 is an apocalyptic number.

It is an amenable number.

51585152 is an abundant number, since it is smaller than the sum of its proper divisors (56596048).

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

51585152 is a wasteful number, since it uses less digits than its factorization.

51585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244 (or 21232 counting only the distinct ones).

The product of its digits is 10000, while the sum is 32.

The square root of 51585152 is about 7182.2804178060. The cubic root of 51585152 is about 372.2558843776.

The spelling of 51585152 in words is "fifty-one million, five hundred eighty-five thousand, one hundred fifty-two".