520315513025 has 48 divisors (see below), whose sum is σ = 805007131008. Its totient is φ = 324105408000.

The previous prime is 520315512953. The next prime is 520315513063.

520315513025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 520315513025 - 2¹⁶ = 520315447489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 520315512982 and 520315513000.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2440619 + ... + 2645231.

It is an arithmetic number, because the mean of its divisors is an integer number (16770981896).

Almost surely, 2^520315513025 is an apocalyptic number.

520315513025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

520315513025 is a deficient number, since it is larger than the sum of its proper divisors (284691617983).

520315513025 is a wasteful number, since it uses less digits than its factorization.

520315513025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205962 (or 205957 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 520315513025 in words is "five hundred twenty billion, three hundred fifteen million, five hundred thirteen thousand, twenty-five".