900513694116 has 81 divisors (see below), whose sum is σ = 2298957963393. Its totient is φ = 297212392800.

The previous prime is 900513694111. The next prime is 900513694181. The reversal of 900513694116 is 611496315009.

The square root of 900513694116 is 948954.

It is a perfect power (a square), and thus also a powerful number.

900513694116 is a `hidden beast` number, since 90 + 0 + 513 + 6 + 9 + 41 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 627653724516 + 272859969600 = 792246^2 + 522360^2 .

It is not an unprimeable number, because it can be changed into a prime (900513694111) 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 26 ways as a sum of consecutive naturals, for example, 620615191 + ... + 620616641.

Almost surely, 2^900513694116 is an apocalyptic number.

900513694116 is the 948954-th square number.

It is an amenable number.

900513694116 is an abundant number, since it is smaller than the sum of its proper divisors (1398444269277).

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

900513694116 is a wasteful number, since it uses less digits than its factorization.

900513694116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 900513694116 in words is "nine hundred billion, five hundred thirteen million, six hundred ninety-four thousand, one hundred sixteen".