900133563 has 16 divisors (see below), whose sum is σ = 1372061696. Its totient is φ = 514200960.

The previous prime is 900133483. The next prime is 900133567. The reversal of 900133563 is 365331009.

It is not a de Polignac number, because 900133563 - 2⁸ = 900133307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 900133563.

It is not an unprimeable number, because it can be changed into a prime (900133567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105798 + ... + 113988.

It is an arithmetic number, because the mean of its divisors is an integer number (85753856).

Almost surely, 2^900133563 is an apocalyptic number.

900133563 is a deficient number, since it is larger than the sum of its proper divisors (471928133).

900133563 is a wasteful number, since it uses less digits than its factorization.

900133563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434.

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 900133563 is about 30002.2259674178. The cubic root of 900133563 is about 965.5371428575.

The spelling of 900133563 in words is "nine hundred million, one hundred thirty-three thousand, five hundred sixty-three".