513055400 has 96 divisors (see below), whose sum is σ = 1401472800. Its totient is φ = 172204800.

The previous prime is 513055399. The next prime is 513055409. The reversal of 513055400 is 4550315.

It is not an unprimeable number, because it can be changed into a prime (513055409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19631 + ... + 37569.

It is an arithmetic number, because the mean of its divisors is an integer number (14598675).

Almost surely, 2^513055400 is an apocalyptic number.

513055400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700736400).

513055400 is an abundant number, since it is smaller than the sum of its proper divisors (888417400).

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

513055400 is a wasteful number, since it uses less digits than its factorization.

513055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17979 (or 17970 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 513055400 is about 22650.7262576722. The cubic root of 513055400 is about 800.5493102365.

The spelling of 513055400 in words is "five hundred thirteen million, fifty-five thousand, four hundred".