2561562251 has 2 divisors, whose sum is σ = 2561562252. Its totient is φ = 2561562250.

The previous prime is 2561562247. The next prime is 2561562253. The reversal of 2561562251 is 1522651652.

2561562251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2561562251 - 2² = 2561562247 is a prime.

Together with 2561562253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2561562253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280781125 + 1280781126.

It is an arithmetic number, because the mean of its divisors is an integer number (1280781126).

Almost surely, 2^2561562251 is an apocalyptic number.

2561562251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561562251 is an equidigital number, since it uses as much as digits as its factorization.

2561562251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36000, while the sum is 35.

The square root of 2561562251 is about 50611.8785563231. The cubic root of 2561562251 is about 1368.2589728000.

The spelling of 2561562251 in words is "two billion, five hundred sixty-one million, five hundred sixty-two thousand, two hundred fifty-one".