513225522315 has 96 divisors (see below), whose sum is σ = 987800666112. Its totient is φ = 244429920000.

The previous prime is 513225522301. The next prime is 513225522377.

513225522315 is a `hidden beast` number, since 51 + 3 + 22 + 552 + 2 + 31 + 5 = 666.

513225522315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513225522315 - 2⁹ = 513225521803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513225522315.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6308950 + ... + 6389780.

It is an arithmetic number, because the mean of its divisors is an integer number (10289590272).

Almost surely, 2^513225522315 is an apocalyptic number.

513225522315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513225522315 is a deficient number, since it is larger than the sum of its proper divisors (474575143797).

513225522315 is a wasteful number, since it uses less digits than its factorization.

513225522315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81081 (or 81078 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 513225522315 in words is "five hundred thirteen billion, two hundred twenty-five million, five hundred twenty-two thousand, three hundred fifteen".