513025400 has 48 divisors (see below), whose sum is σ = 1198535640. Its totient is φ = 204220800.

The previous prime is 513025397. The next prime is 513025451. The reversal of 513025400 is 4520315.

It is a super-2 number, since 2×513025400² = 526390122090320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 36122 + ... + 48278.

Almost surely, 2^513025400 is an apocalyptic number.

513025400 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 513025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599267820).

513025400 is an abundant number, since it is smaller than the sum of its proper divisors (685510240).

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

513025400 is a wasteful number, since it uses less digits than its factorization.

513025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12384 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513025400 is about 22650.0640175696. The cubic root of 513025400 is about 800.5337063677.

Adding to 513025400 its reverse (4520315), we get a palindrome (517545715).

The spelling of 513025400 in words is "five hundred thirteen million, twenty-five thousand, four hundred".