513303400 has 24 divisors (see below), whose sum is σ = 1193430870. Its totient is φ = 205321280.

The previous prime is 513303367. The next prime is 513303421. The reversal of 513303400 is 4303315.

It can be written as a sum of positive squares in 3 ways, for example, as 196392196 + 316911204 = 14014^2 + 17802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1283059 + ... + 1283458.

Almost surely, 2^513303400 is an apocalyptic number.

513303400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513303400 is an abundant number, since it is smaller than the sum of its proper divisors (680127470).

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

513303400 is a wasteful number, since it uses less digits than its factorization.

513303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566533 (or 2566524 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 513303400 is about 22656.2000344277. The cubic root of 513303400 is about 800.6782789263.

Adding to 513303400 its reverse (4303315), we get a palindrome (517606715).

The spelling of 513303400 in words is "five hundred thirteen million, three hundred three thousand, four hundred".