513202255032213 has 128 divisors (see below), whose sum is σ = 785872235427840. Its totient is φ = 330828394659840.

The previous prime is 513202255032209. The next prime is 513202255032251. The reversal of 513202255032213 is 312230552202315.

513202255032213 is a `hidden beast` number, since 5 + 1 + 32 + 0 + 22 + 550 + 32 + 21 + 3 = 666.

It is not a de Polignac number, because 513202255032213 - 2² = 513202255032209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513202255032283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99592905445 + ... + 99592910597.

It is an arithmetic number, because the mean of its divisors is an integer number (6139626839280).

Almost surely, 2^{513202255032213} is an apocalyptic number.

It is an amenable number.

513202255032213 is a deficient number, since it is larger than the sum of its proper divisors (272669980395627).

513202255032213 is a wasteful number, since it uses less digits than its factorization.

513202255032213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 513202255032213 in words is "five hundred thirteen trillion, two hundred two billion, two hundred fifty-five million, thirty-two thousand, two hundred thirteen".