2516661567 has 48 divisors (see below), whose sum is σ = 4255680000. Its totient is φ = 1403438400.

The previous prime is 2516661529. The next prime is 2516661601. The reversal of 2516661567 is 7651666152.

It is not a de Polignac number, because 2516661567 - 2⁶ = 2516661503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516662567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500934 + ... + 505932.

It is an arithmetic number, because the mean of its divisors is an integer number (88660000).

Almost surely, 2^2516661567 is an apocalyptic number.

2516661567 is a deficient number, since it is larger than the sum of its proper divisors (1739018433).

2516661567 is a wasteful number, since it uses less digits than its factorization.

2516661567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5201 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2516661567 is about 50166.3389834259. The cubic root of 2516661567 is about 1360.2172315557.

The spelling of 2516661567 in words is "two billion, five hundred sixteen million, six hundred sixty-one thousand, five hundred sixty-seven".