1800900117 has 12 divisors (see below), whose sum is σ = 2754318060. Its totient is φ = 1129976448.

The previous prime is 1800900109. The next prime is 1800900131. The reversal of 1800900117 is 7110090081.

It can be written as a sum of positive squares in 2 ways, for example, as 900540081 + 900360036 = 30009^2 + 30006^2 .

It is not a de Polignac number, because 1800900117 - 2³ = 1800900109 is a prime.

It is a super-2 number, since 2×1800900117² = 6486482462821227378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800900107) 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 11 ways as a sum of consecutive naturals, for example, 5885142 + ... + 5885447.

It is an arithmetic number, because the mean of its divisors is an integer number (229526505).

Almost surely, 2^1800900117 is an apocalyptic number.

1800900117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1800900117 is a deficient number, since it is larger than the sum of its proper divisors (953417943).

1800900117 is a wasteful number, since it uses less digits than its factorization.

1800900117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770612 (or 11770609 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 1800900117 is about 42437.0135259304. The cubic root of 1800900117 is about 1216.6431317480.

Adding to 1800900117 its reverse (7110090081), we get a palindrome (8910990198).

The spelling of 1800900117 in words is "one billion, eight hundred million, nine hundred thousand, one hundred seventeen".