513951000345 has 64 divisors (see below), whose sum is σ = 968274051840. Its totient is φ = 257760082944.

The previous prime is 513951000313. The next prime is 513951000347. The reversal of 513951000345 is 543000159315.

It is a happy number.

513951000345 is a `hidden beast` number, since 5 + 139 + 510 + 0 + 0 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 513951000345 - 2⁵ = 513951000313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513951000347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572807 + ... + 2765363.

It is an arithmetic number, because the mean of its divisors is an integer number (15129282060).

Almost surely, 2^513951000345 is an apocalyptic number.

It is an amenable number.

513951000345 is a deficient number, since it is larger than the sum of its proper divisors (454323051495).

513951000345 is a wasteful number, since it uses less digits than its factorization.

513951000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193751 (or 193745 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 513951000345 in words is "five hundred thirteen billion, nine hundred fifty-one million, three hundred forty-five", and thus it is an aban number.