513034800 has 60 divisors (see below), whose sum is σ = 1643425320. Its totient is φ = 136808960.

The previous prime is 513034799. The next prime is 513034807. The reversal of 513034800 is 8430315.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×513034800² = 526409412022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513034807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212565 + ... + 214964.

It is an arithmetic number, because the mean of its divisors is an integer number (27390422).

Almost surely, 2^513034800 is an apocalyptic number.

513034800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513034800 is an abundant number, since it is smaller than the sum of its proper divisors (1130390520).

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

513034800 is a wasteful number, since it uses less digits than its factorization.

513034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427550 (or 427539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513034800 is about 22650.2715215513. The cubic root of 513034800 is about 800.5385956454.

The spelling of 513034800 in words is "five hundred thirteen million, thirty-four thousand, eight hundred".