513365000 has 40 divisors (see below), whose sum is σ = 1202825910. Its totient is φ = 205344000.

The previous prime is 513364979. The next prime is 513365011. The reversal of 513365000 is 563315.

It can be written as a sum of positive squares in 5 ways, for example, as 36990724 + 476374276 = 6082^2 + 21826^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46337 + ... + 56336.

Almost surely, 2^513365000 is an apocalyptic number.

513365000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513365000 is an abundant number, since it is smaller than the sum of its proper divisors (689460910).

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

513365000 is a wasteful number, since it uses less digits than its factorization.

513365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102699 (or 102680 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 513365000 is about 22657.5594449182. The cubic root of 513365000 is about 800.7103066439.

The spelling of 513365000 in words is "five hundred thirteen million, three hundred sixty-five thousand".