51516513 has 32 divisors (see below), whose sum is σ = 80153600. Its totient is φ = 32659200.

The previous prime is 51516503. The next prime is 51516539. The reversal of 51516513 is 31561515.

51516513 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 651 + 3 = 666.

It is not a de Polignac number, because 51516513 - 2⁴ = 51516497 is a prime.

It is a super-2 number, since 2×51516513² = 5307902223358338, 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 (51516503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50553 + ... + 51561.

It is an arithmetic number, because the mean of its divisors is an integer number (2504800).

Almost surely, 2^51516513 is an apocalyptic number.

It is an amenable number.

51516513 is a deficient number, since it is larger than the sum of its proper divisors (28637087).

51516513 is a wasteful number, since it uses less digits than its factorization.

51516513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 51516513 is about 7177.5004702194. The cubic root of 51516513 is about 372.0907036886.

It can be divided in two parts, 5151 and 6513, that added together give a square (11664 = 108²).

The spelling of 51516513 in words is "fifty-one million, five hundred sixteen thousand, five hundred thirteen".