512575 has 24 divisors (see below), whose sum is σ = 758880. Its totient is φ = 336000.

The previous prime is 512573. The next prime is 512579. The reversal of 512575 is 575215.

512575 = 15² + 16² + ... + 115².

It is a happy number.

512575 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 512575 - 2¹ = 512573 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2⁵¹²⁵⁷⁵ is an apocalyptic number.

512575 is a deficient number, since it is larger than the sum of its proper divisors (246305).

512575 is a wasteful number, since it uses less digits than its factorization.

512575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its digits is 1750, while the sum is 25.

The square root of 512575 is about 715.9434335197. The cubic root of 512575 is about 80.0299367127.

512575 divided by its sum of digits (25) gives a triangular number (20503 = T₂₀₂).

The spelling of 512575 in words is "five hundred twelve thousand, five hundred seventy-five".