513525420 has 60 divisors (see below), whose sum is σ = 1610953344. Its totient is φ = 136939680.

The previous prime is 513525413. The next prime is 513525433. The reversal of 513525420 is 24525315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 156876 + ... + 160115.

Almost surely, 2^513525420 is an apocalyptic number.

It is an amenable number.

513525420 is an abundant number, since it is smaller than the sum of its proper divisors (1097427924).

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

513525420 is a wasteful number, since it uses less digits than its factorization.

513525420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317012 (or 317001 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 513525420 is about 22661.0992672465. The cubic root of 513525420 is about 800.7937018696.

The spelling of 513525420 in words is "five hundred thirteen million, five hundred twenty-five thousand, four hundred twenty".