2551591013 has 16 divisors (see below), whose sum is σ = 2811095280. Its totient is φ = 2305207296.

The previous prime is 2551590967. The next prime is 2551591039. The reversal of 2551591013 is 3101951552.

It can be written as a sum of positive squares in 8 ways, for example, as 914336644 + 1637254369 = 30238^2 + 40463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551591013 - 2⁸ = 2551590757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551591093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70331 + ... + 100247.

It is an arithmetic number, because the mean of its divisors is an integer number (175693455).

Almost surely, 2^2551591013 is an apocalyptic number.

It is an amenable number.

2551591013 is a deficient number, since it is larger than the sum of its proper divisors (259504267).

2551591013 is a wasteful number, since it uses less digits than its factorization.

2551591013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30136.

The product of its (nonzero) digits is 6750, while the sum is 32.

The square root of 2551591013 is about 50513.2756114667. The cubic root of 2551591013 is about 1366.4812845978.

The spelling of 2551591013 in words is "two billion, five hundred fifty-one million, five hundred ninety-one thousand, thirteen".