2513304288013 has 2 divisors, whose sum is σ = 2513304288014. Its totient is φ = 2513304288012.

The previous prime is 2513304287983. The next prime is 2513304288097. The reversal of 2513304288013 is 3108824033152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1468793715844 + 1044510572169 = 1211938^2 + 1022013^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513304288013 - 2⁵ = 2513304287981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513304238013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256652144006 + 1256652144007.

It is an arithmetic number, because the mean of its divisors is an integer number (1256652144007).

Almost surely, 2^{2513304288013} is an apocalyptic number.

It is an amenable number.

2513304288013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513304288013 is an equidigital number, since it uses as much as digits as its factorization.

2513304288013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 2513304288013 in words is "two trillion, five hundred thirteen billion, three hundred four million, two hundred eighty-eight thousand, thirteen".