513131602368 has 224 divisors, whose sum is σ = 1792237459968. Its totient is φ = 125440819200.

The previous prime is 513131602367. The next prime is 513131602439. The reversal of 513131602368 is 863206131315.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513131602367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769513 + ... + 1272168.

Almost surely, 2^513131602368 is an apocalyptic number.

It is an amenable number.

513131602368 is an abundant number, since it is smaller than the sum of its proper divisors (1279105857600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513131602368 is a wasteful number, since it uses less digits than its factorization.

513131602368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041731 (or 2041721 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 513131602368 in words is "five hundred thirteen billion, one hundred thirty-one million, six hundred two thousand, three hundred sixty-eight".