513025727520315 has 16 divisors (see below), whose sum is σ = 820973622009888. Its totient is φ = 273569568685056.

The previous prime is 513025727520301. The next prime is 513025727520359.

It is a happy number.

513025727520315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513025727520315 - 2¹⁴ = 513025727503931 is a prime.

It is a super-3 number, since 3×513025727520315³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759445142 + ... + 2759631051.

It is an arithmetic number, because the mean of its divisors is an integer number (51310851375618).

Almost surely, 2^{513025727520315} is an apocalyptic number.

513025727520315 is a deficient number, since it is larger than the sum of its proper divisors (307947894489573).

513025727520315 is a wasteful number, since it uses less digits than its factorization.

513025727520315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519082398.

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 513025727520315 in words is "five hundred thirteen trillion, twenty-five billion, seven hundred twenty-seven million, five hundred twenty thousand, three hundred fifteen".