513687825 has 180 divisors, whose sum is σ = 1149426432. Its totient is φ = 225892800.

The previous prime is 513687821. The next prime is 513687833. The reversal of 513687825 is 528786315.

513687825 is a `hidden beast` number, since 513 + 68 + 78 + 2 + 5 = 666.

It is not a de Polignac number, because 513687825 - 2² = 513687821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (513687821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3075892 + ... + 3076058.

Almost surely, 2^513687825 is an apocalyptic number.

It is an amenable number.

513687825 is an abundant number, since it is smaller than the sum of its proper divisors (635738607).

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

513687825 is a wasteful number, since it uses less digits than its factorization.

513687825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 513687825 is about 22664.6823273568. The cubic root of 513687825 is about 800.8781113188.

The spelling of 513687825 in words is "five hundred thirteen million, six hundred eighty-seven thousand, eight hundred twenty-five".