51166512 has 80 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 16838208.

The previous prime is 51166471. The next prime is 51166519. The reversal of 51166512 is 21566115.

It is a happy number.

51166512 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 651 + 2 = 666.

It is a super-2 number, since 2×51166512² = 5236023900492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51166519) 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, 35143 + ... + 36569.

It is an arithmetic number, because the mean of its divisors is an integer number (1859256).

Almost surely, 2^51166512 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 51166512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

51166512 is an abundant number, since it is smaller than the sum of its proper divisors (97573968).

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

51166512 is a wasteful number, since it uses less digits than its factorization.

51166512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 51166512 is about 7153.0771001017. The cubic root of 51166512 is about 371.2461319870.

It can be divided in two parts, 5116 and 6512, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 51166512 in words is "fifty-one million, one hundred sixty-six thousand, five hundred twelve".