2561624101 has 2 divisors, whose sum is σ = 2561624102. Its totient is φ = 2561624100.

The previous prime is 2561624047. The next prime is 2561624119. The reversal of 2561624101 is 1014261652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1745150625 + 816473476 = 41775^2 + 28574^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561624101 - 2⁷ = 2561623973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2561624101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561624161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280812050 + 1280812051.

It is an arithmetic number, because the mean of its divisors is an integer number (1280812051).

Almost surely, 2^2561624101 is an apocalyptic number.

It is an amenable number.

2561624101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561624101 is an equidigital number, since it uses as much as digits as its factorization.

2561624101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2561624101 is about 50612.4895752027. The cubic root of 2561624101 is about 1368.2699851079.

Adding to 2561624101 its reverse (1014261652), we get a palindrome (3575885753).

The spelling of 2561624101 in words is "two billion, five hundred sixty-one million, six hundred twenty-four thousand, one hundred one".