513457900 has 36 divisors (see below), whose sum is σ = 1172850280. Its totient is φ = 194572800.

The previous prime is 513457891. The next prime is 513457909. The reversal of 513457900 is 9754315.

It is an interprime number because it is at equal distance from previous prime (513457891) and next prime (513457909).

It is not an unprimeable number, because it can be changed into a prime (513457909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133221 + ... + 137020.

Almost surely, 2^513457900 is an apocalyptic number.

513457900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513457900 is an abundant number, since it is smaller than the sum of its proper divisors (659392380).

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

513457900 is a wasteful number, since it uses less digits than its factorization.

513457900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270274 (or 270267 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 513457900 is about 22659.6094405883. The cubic root of 513457900 is about 800.7586033405.

The spelling of 513457900 in words is "five hundred thirteen million, four hundred fifty-seven thousand, nine hundred".