513501345 has 96 divisors (see below), whose sum is σ = 1045055232. Its totient is φ = 228427776.

The previous prime is 513501311. The next prime is 513501361. The reversal of 513501345 is 543105315.

It is not a de Polignac number, because 513501345 - 2⁸ = 513501089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3150234 + ... + 3150396.

It is an arithmetic number, because the mean of its divisors is an integer number (10885992).

Almost surely, 2^513501345 is an apocalyptic number.

It is an amenable number.

513501345 is an abundant number, since it is smaller than the sum of its proper divisors (531553887).

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

513501345 is a wasteful number, since it uses less digits than its factorization.

513501345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513501345 is about 22660.5680643712. The cubic root of 513501345 is about 800.7811874552.

The spelling of 513501345 in words is "five hundred thirteen million, five hundred one thousand, three hundred forty-five".