513432025 has 12 divisors (see below), whose sum is σ = 636941500. Its totient is φ = 410561280.

The previous prime is 513431999. The next prime is 513432047. The reversal of 513432025 is 520234315.

It can be written as a sum of positive squares in 6 ways, for example, as 18636489 + 494795536 = 4317^2 + 22244^2 .

It is not a de Polignac number, because 513432025 - 2²³ = 505043417 is a prime.

It is a super-2 number, since 2×513432025² = 527224888591201250, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 91501 + ... + 96949.

Almost surely, 2^513432025 is an apocalyptic number.

It is an amenable number.

513432025 is a deficient number, since it is larger than the sum of its proper divisors (123509475).

513432025 is a wasteful number, since it uses less digits than its factorization.

513432025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 513432025 is about 22659.0384835721. The cubic root of 513432025 is about 800.7451520742.

The spelling of 513432025 in words is "five hundred thirteen million, four hundred thirty-two thousand, twenty-five".