513375000 has 168 divisors, whose sum is σ = 1648807020. Its totient is φ = 133200000.

The previous prime is 513374999. The next prime is 513375007. The reversal of 513375000 is 573315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513375007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13874982 + ... + 13875018.

Almost surely, 2^513375000 is an apocalyptic number.

513375000 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 513375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824403510).

513375000 is an abundant number, since it is smaller than the sum of its proper divisors (1135432020).

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

513375000 is an frugal number, since it uses more digits than its factorization.

513375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 513375000 is about 22657.7801207444. The cubic root of 513375000 is about 800.7155057070.

Multiplying 513375000 by its sum of digits (24), we get a square (12321000000 = 111000²).

513375000 divided by its sum of digits (24) gives a square (21390625 = 4625²).

The spelling of 513375000 in words is "five hundred thirteen million, three hundred seventy-five thousand".