2552005013 has 16 divisors (see below), whose sum is σ = 2633589504. Its totient is φ = 2471701440.

The previous prime is 2552005003. The next prime is 2552005061. The reversal of 2552005013 is 3105002552.

It is a cyclic number.

It is not a de Polignac number, because 2552005013 - 2²² = 2547810709 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2552005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552005003) 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, 2338598 + ... + 2339688.

It is an arithmetic number, because the mean of its divisors is an integer number (164599344).

Almost surely, 2^2552005013 is an apocalyptic number.

It is an amenable number.

2552005013 is a deficient number, since it is larger than the sum of its proper divisors (81584491).

2552005013 is a wasteful number, since it uses less digits than its factorization.

2552005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2552005013 is about 50517.3733778786. The cubic root of 2552005013 is about 1366.5551852419. Note that the first 3 decimals are identical.

Adding to 2552005013 its reverse (3105002552), we get a palindrome (5657007565).

The spelling of 2552005013 in words is "two billion, five hundred fifty-two million, five thousand, thirteen".