2513397131261 has 2 divisors, whose sum is σ = 2513397131262. Its totient is φ = 2513397131260.

The previous prime is 2513397131249. The next prime is 2513397131263. The reversal of 2513397131261 is 1621317933152.

It is a happy number.

2513397131261 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 can be written as a sum of positive squares in only one way, i.e., 1755574650361 + 757822480900 = 1324981^2 + 870530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2513397131261 is a prime.

Together with 2513397131263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513397131263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256698565630 + 1256698565631.

It is an arithmetic number, because the mean of its divisors is an integer number (1256698565631).

Almost surely, 2^{2513397131261} is an apocalyptic number.

It is an amenable number.

2513397131261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513397131261 is an equidigital number, since it uses as much as digits as its factorization.

2513397131261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 44.

The spelling of 2513397131261 in words is "two trillion, five hundred thirteen billion, three hundred ninety-seven million, one hundred thirty-one thousand, two hundred sixty-one".