512125 has 16 divisors (see below), whose sum is σ = 679536. Its totient is φ = 384000.

The previous prime is 512101. The next prime is 512137. The reversal of 512125 is 521215.

512125 is nontrivially palindromic in base 4 and base 15.

It can be written as a sum of positive squares in 8 ways, for example, as 52441 + 459684 = 229^2 + 678^2 .

It is not a de Polignac number, because 512125 - 2⁵ = 512093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 512099 and 512108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005 + ... + 2245.

It is an arithmetic number, because the mean of its divisors is an integer number (42471).

2⁵¹²¹²⁵ is an apocalyptic number.

It is an amenable number.

512125 is a deficient number, since it is larger than the sum of its proper divisors (167411).

512125 is a wasteful number, since it uses less digits than its factorization.

512125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 512125 is about 715.6290938748. The cubic root of 512125 is about 80.0065098869.

It can be divided in two parts, 512 and 125, that multiplied together give a cube (64000 = 40³).

The spelling of 512125 in words is "five hundred twelve thousand, one hundred twenty-five".