2561313664031 has 2 divisors, whose sum is σ = 2561313664032. Its totient is φ = 2561313664030.

The previous prime is 2561313664009. The next prime is 2561313664121. The reversal of 2561313664031 is 1304663131652.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2561313664031 - 2⁶ = 2561313663967 is a prime.

It is a super-2 number, since 2×2561313664031² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2561313664031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561313661031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280656832015 + 1280656832016.

It is an arithmetic number, because the mean of its divisors is an integer number (1280656832016).

Almost surely, 2^{2561313664031} is an apocalyptic number.

2561313664031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561313664031 is an equidigital number, since it uses as much as digits as its factorization.

2561313664031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 41.

Adding to 2561313664031 its reverse (1304663131652), we get a palindrome (3865976795683).

The spelling of 2561313664031 in words is "two trillion, five hundred sixty-one billion, three hundred thirteen million, six hundred sixty-four thousand, thirty-one".