82513137 has 16 divisors (see below), whose sum is σ = 126074880. Its totient is φ = 47022672.

The previous prime is 82513117. The next prime is 82513139. The reversal of 82513137 is 73131528.

It is not a de Polignac number, because 82513137 - 2⁶ = 82513073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82513139) 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, 2914 + ... + 13172.

It is an arithmetic number, because the mean of its divisors is an integer number (7879680).

Almost surely, 2^82513137 is an apocalyptic number.

It is an amenable number.

82513137 is a deficient number, since it is larger than the sum of its proper divisors (43561743).

82513137 is a wasteful number, since it uses less digits than its factorization.

82513137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652.

The product of its digits is 5040, while the sum is 30.

The square root of 82513137 is about 9083.6742015552. The cubic root of 82513137 is about 435.3524900884.

The spelling of 82513137 in words is "eighty-two million, five hundred thirteen thousand, one hundred thirty-seven".