2580316713 has 72 divisors (see below), whose sum is σ = 4235494536. Its totient is φ = 1504189440.

The previous prime is 2580316703. The next prime is 2580316759. The reversal of 2580316713 is 3176130852.

2580316713 is a `hidden beast` number, since 2 + 580 + 3 + 1 + 6 + 71 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20766249 + 2559550464 = 4557^2 + 50592^2 .

It is not a de Polignac number, because 2580316713 - 2¹⁸ = 2580054569 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2580316703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5958945 + ... + 5959377.

It is an arithmetic number, because the mean of its divisors is an integer number (58826313).

Almost surely, 2^2580316713 is an apocalyptic number.

It is an amenable number.

2580316713 is a deficient number, since it is larger than the sum of its proper divisors (1655177823).

2580316713 is a wasteful number, since it uses less digits than its factorization.

2580316713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2580316713 is about 50796.8179416782. The cubic root of 2580316713 is about 1371.5900895658.

The spelling of 2580316713 in words is "two billion, five hundred eighty million, three hundred sixteen thousand, seven hundred thirteen".