2513400513 has 16 divisors (see below), whose sum is σ = 3821279616. Its totient is φ = 1455724800.

The previous prime is 2513400481. The next prime is 2513400517. The reversal of 2513400513 is 3150043152.

It is not a de Polignac number, because 2513400513 - 2⁵ = 2513400481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2513400517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894813 + ... + 1896138.

It is an arithmetic number, because the mean of its divisors is an integer number (238829976).

Almost surely, 2^2513400513 is an apocalyptic number.

It is an amenable number.

2513400513 is a deficient number, since it is larger than the sum of its proper divisors (1307879103).

2513400513 is a wasteful number, since it uses less digits than its factorization.

2513400513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790984.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2513400513 is about 50133.8260359211. The cubic root of 2513400513 is about 1359.6294609411.

Adding to 2513400513 its reverse (3150043152), we get a palindrome (5663443665).

The spelling of 2513400513 in words is "two billion, five hundred thirteen million, four hundred thousand, five hundred thirteen".