513113253401 has 64 divisors (see below), whose sum is σ = 670452940800. Its totient is φ = 390358805760.

The previous prime is 513113253383. The next prime is 513113253409. The reversal of 513113253401 is 104352311315.

It is not a de Polignac number, because 513113253401 - 2²⁶ = 513046144537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513113253409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9495080 + ... + 9548966.

It is an arithmetic number, because the mean of its divisors is an integer number (10475827200).

Almost surely, 2^513113253401 is an apocalyptic number.

It is an amenable number.

513113253401 is a deficient number, since it is larger than the sum of its proper divisors (157339687399).

513113253401 is a wasteful number, since it uses less digits than its factorization.

513113253401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54019 (or 54005 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 513113253401 its reverse (104352311315), we get a palindrome (617465564716).

The spelling of 513113253401 in words is "five hundred thirteen billion, one hundred thirteen million, two hundred fifty-three thousand, four hundred one".