513253125 has 192 divisors, whose sum is σ = 1199923200. Its totient is φ = 210600000.

The previous prime is 513253123. The next prime is 513253141. The reversal of 513253125 is 521352315.

It is a happy number.

513253125 is a `hidden beast` number, since 513 + 25 + 3 + 125 = 666.

It is not a de Polignac number, because 513253125 - 2¹ = 513253123 is a prime.

It is a super-3 number, since 3×513253125³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513253123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6496836 + ... + 6496914.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^513253125 is an apocalyptic number.

513253125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513253125 is an abundant number, since it is smaller than the sum of its proper divisors (686670075).

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

513253125 is an equidigital number, since it uses as much as digits as its factorization.

513253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 513253125 is about 22655.0904875703. The cubic root of 513253125 is about 800.6521375222.

The spelling of 513253125 in words is "five hundred thirteen million, two hundred fifty-three thousand, one hundred twenty-five".