512531525 has 48 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 354264000.

The previous prime is 512531497. The next prime is 512531527. The reversal of 512531525 is 525135215.

It is not a de Polignac number, because 512531525 - 2²⁰ = 511482949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512531527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502466 + ... + 503484.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^512531525 is an apocalyptic number.

512531525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

512531525 is a deficient number, since it is larger than the sum of its proper divisors (215993275).

512531525 is a wasteful number, since it uses less digits than its factorization.

512531525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1125 counting only the distinct ones).

The product of its digits is 7500, while the sum is 29.

The square root of 512531525 is about 22639.1591054085. The cubic root of 512531525 is about 800.2767401950.

The spelling of 512531525 in words is "five hundred twelve million, five hundred thirty-one thousand, five hundred twenty-five".