2013762713257 has 2 divisors, whose sum is σ = 2013762713258. Its totient is φ = 2013762713256.

The previous prime is 2013762713239. The next prime is 2013762713393. The reversal of 2013762713257 is 7523172673102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1668202144921 + 345560568336 = 1291589^2 + 587844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013762713257 - 2¹⁹ = 2013762188969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013769713257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006881356628 + 1006881356629.

It is an arithmetic number, because the mean of its divisors is an integer number (1006881356629).

Almost surely, 2^{2013762713257} is an apocalyptic number.

It is an amenable number.

2013762713257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013762713257 is an equidigital number, since it uses as much as digits as its factorization.

2013762713257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 2013762713257 in words is "two trillion, thirteen billion, seven hundred sixty-two million, seven hundred thirteen thousand, two hundred fifty-seven".