2561122517 has 2 divisors, whose sum is σ = 2561122518. Its totient is φ = 2561122516.

The previous prime is 2561122493. The next prime is 2561122561. The reversal of 2561122517 is 7152211652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1652341201 + 908781316 = 40649^2 + 30146^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561122517 - 2⁶ = 2561122453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561122717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280561258 + 1280561259.

It is an arithmetic number, because the mean of its divisors is an integer number (1280561259).

Almost surely, 2^2561122517 is an apocalyptic number.

It is an amenable number.

2561122517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561122517 is an equidigital number, since it uses as much as digits as its factorization.

2561122517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 32.

The square root of 2561122517 is about 50607.5341920548. The cubic root of 2561122517 is about 1368.1806736523.

The spelling of 2561122517 in words is "two billion, five hundred sixty-one million, one hundred twenty-two thousand, five hundred seventeen".