132516513 has 32 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 82833408.

The previous prime is 132516511. The next prime is 132516521. The reversal of 132516513 is 315615231.

132516513 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 651 + 3 = 666.

It is not a de Polignac number, because 132516513 - 2¹ = 132516511 is a prime.

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 (132516511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205770 + ... + 206412.

It is an arithmetic number, because the mean of its divisors is an integer number (6520500).

Almost surely, 2^132516513 is an apocalyptic number.

It is an amenable number.

132516513 is a deficient number, since it is larger than the sum of its proper divisors (76139487).

132516513 is a wasteful number, since it uses less digits than its factorization.

132516513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 132516513 is about 11511.5816897592. The cubic root of 132516513 is about 509.8275887798.

The spelling of 132516513 in words is "one hundred thirty-two million, five hundred sixteen thousand, five hundred thirteen".