816515007 has 64 divisors (see below), whose sum is σ = 1391247360. Its totient is φ = 413712000.

The previous prime is 816514991. The next prime is 816515027. The reversal of 816515007 is 700515618.

It is not a de Polignac number, because 816515007 - 2⁴ = 816514991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816515027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1842928 + ... + 1843370.

It is an arithmetic number, because the mean of its divisors is an integer number (21738240).

Almost surely, 2^816515007 is an apocalyptic number.

816515007 is a deficient number, since it is larger than the sum of its proper divisors (574732353).

816515007 is a wasteful number, since it uses less digits than its factorization.

816515007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 816515007 is about 28574.7267178533. The cubic root of 816515007 is about 934.6622959936.

The spelling of 816515007 in words is "eight hundred sixteen million, five hundred fifteen thousand, seven".