513422400 has 84 divisors (see below), whose sum is σ = 1684469072. Its totient is φ = 136911360.

The previous prime is 513422387. The next prime is 513422473. The reversal of 513422400 is 4224315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48682 + ... + 58281.

Almost surely, 2^513422400 is an apocalyptic number.

513422400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513422400 is an abundant number, since it is smaller than the sum of its proper divisors (1171046672).

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

513422400 is a wasteful number, since it uses less digits than its factorization.

513422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106988 (or 106973 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 513422400 is about 22658.8260949238. The cubic root of 513422400 is about 800.7401483477.

Adding to 513422400 its reverse (4224315), we get a palindrome (517646715).

The spelling of 513422400 in words is "five hundred thirteen million, four hundred twenty-two thousand, four hundred".