900809811 has 48 divisors (see below), whose sum is σ = 1501194240. Its totient is φ = 515376000.

The previous prime is 900809801. The next prime is 900809813. The reversal of 900809811 is 118908009.

It is not a de Polignac number, because 900809811 - 2¹¹ = 900807763 is a prime.

It is a super-2 number, since 2×900809811² = 1622916631187711442, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (900809813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122250 + ... + 129408.

It is an arithmetic number, because the mean of its divisors is an integer number (31274880).

Almost surely, 2^900809811 is an apocalyptic number.

900809811 is a deficient number, since it is larger than the sum of its proper divisors (600384429).

900809811 is a wasteful number, since it uses less digits than its factorization.

900809811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 900809811 is about 30013.4938152825. The cubic root of 900809811 is about 965.7788770266.

The spelling of 900809811 in words is "nine hundred million, eight hundred nine thousand, eight hundred eleven".