2516406561 has 16 divisors (see below), whose sum is σ = 3743488320. Its totient is φ = 1670639040.

The previous prime is 2516406553. The next prime is 2516406577. The reversal of 2516406561 is 1656046152.

2516406561 is a `hidden beast` number, since 2 + 5 + 1 + 640 + 6 + 5 + 6 + 1 = 666.

2516406561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2516406561 - 2³ = 2516406553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2516406161) 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, 186855 + ... + 199868.

It is an arithmetic number, because the mean of its divisors is an integer number (233968020).

Almost surely, 2^2516406561 is an apocalyptic number.

It is an amenable number.

2516406561 is a deficient number, since it is larger than the sum of its proper divisors (1227081759).

2516406561 is a wasteful number, since it uses less digits than its factorization.

2516406561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386973 (or 386967 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2516406561 is about 50163.7973143980. The cubic root of 2516406561 is about 1360.1712877180.

The spelling of 2516406561 in words is "two billion, five hundred sixteen million, four hundred six thousand, five hundred sixty-one".