513536230625 has 40 divisors (see below), whose sum is σ = 701680890240. Its totient is φ = 372612200000.

The previous prime is 513536230619. The next prime is 513536230651. The reversal of 513536230625 is 526032635315.

It is not a de Polignac number, because 513536230625 - 2¹⁴ = 513536214241 is a prime.

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 39 ways as a sum of consecutive naturals, for example, 2876471 + ... + 3049779.

It is an arithmetic number, because the mean of its divisors is an integer number (17542022256).

Almost surely, 2^513536230625 is an apocalyptic number.

513536230625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513536230625 is a deficient number, since it is larger than the sum of its proper divisors (188144659615).

513536230625 is a wasteful number, since it uses less digits than its factorization.

513536230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173771 (or 173756 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 513536230625 in words is "five hundred thirteen billion, five hundred thirty-six million, two hundred thirty thousand, six hundred twenty-five".