513463200 has 72 divisors (see below), whose sum is σ = 1671330528. Its totient is φ = 136922880.

The previous prime is 513463193. The next prime is 513463207. The reversal of 513463200 is 2364315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513463193) and next prime (513463207).

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 (513463207) 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, 104572 + ... + 109371.

It is an arithmetic number, because the mean of its divisors is an integer number (23212924).

Almost surely, 2^513463200 is an apocalyptic number.

513463200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513463200 is an abundant number, since it is smaller than the sum of its proper divisors (1157867328).

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

513463200 is a wasteful number, since it uses less digits than its factorization.

513463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213966 (or 213953 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 513463200 is about 22659.7263884629. The cubic root of 513463200 is about 800.7613585200.

The spelling of 513463200 in words is "five hundred thirteen million, four hundred sixty-three thousand, two hundred".