513642906 has 48 divisors (see below), whose sum is σ = 1312915968. Its totient is φ = 142020000.

The previous prime is 513642889. The next prime is 513642919. The reversal of 513642906 is 609246315.

It is a happy number.

513642906 is a `hidden beast` number, since 5 + 1 + 3 + 642 + 9 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61845 + ... + 69656.

It is an arithmetic number, because the mean of its divisors is an integer number (27352416).

Almost surely, 2^513642906 is an apocalyptic number.

513642906 is an abundant number, since it is smaller than the sum of its proper divisors (799273062).

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

513642906 is a wasteful number, since it uses less digits than its factorization.

513642906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131547 (or 131544 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 513642906 is about 22663.6913586468. The cubic root of 513642906 is about 800.8547666006.

The spelling of 513642906 in words is "five hundred thirteen million, six hundred forty-two thousand, nine hundred six".