513765525 has 48 divisors (see below), whose sum is σ = 1045460864. Its totient is φ = 216794880.

The previous prime is 513765523. The next prime is 513765541. The reversal of 513765525 is 525567315.

513765525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 513765525 - 2¹ = 513765523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513765523) 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 47 ways as a sum of consecutive naturals, for example, 30814 + ... + 44463.

Almost surely, 2^513765525 is an apocalyptic number.

It is an amenable number.

513765525 is an abundant number, since it is smaller than the sum of its proper divisors (531695339).

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

513765525 is a wasteful number, since it uses less digits than its factorization.

513765525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75310 (or 75305 counting only the distinct ones).

The product of its digits is 157500, while the sum is 39.

The square root of 513765525 is about 22666.3963831925. The cubic root of 513765525 is about 800.9184893389.

It can be divided in two parts, 513 and 765525, that multiplied together give a triangular number (392714325 = T₂₈₀₂₅).

The spelling of 513765525 in words is "five hundred thirteen million, seven hundred sixty-five thousand, five hundred twenty-five".