8251216657 has 16 divisors (see below), whose sum is σ = 8374766400. Its totient is φ = 8128929600.

The previous prime is 8251216639. The next prime is 8251216681. The reversal of 8251216657 is 7566121528.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8251216657 is a prime.

It is a Duffinian number.

Its product of digits (201600) is a multiple of the sum of its prime divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (8251216157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14450182 + ... + 14450752.

It is an arithmetic number, because the mean of its divisors is an integer number (523422900).

Almost surely, 2^8251216657 is an apocalyptic number.

It is an amenable number.

8251216657 is a deficient number, since it is larger than the sum of its proper divisors (123549743).

8251216657 is a wasteful number, since it uses less digits than its factorization.

8251216657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its digits is 201600, while the sum is 43.

The square root of 8251216657 is about 90836.2078523757. The cubic root of 8251216657 is about 2020.7193347814.

The spelling of 8251216657 in words is "eight billion, two hundred fifty-one million, two hundred sixteen thousand, six hundred fifty-seven".