1851000900 has 288 divisors, whose sum is σ = 6726236160. Its totient is φ = 383201280.

The previous prime is 1851000869. The next prime is 1851000911. The reversal of 1851000900 is 90001581.

1851000900 = T₄₉₁ + T₄₉₂ + ... + T₂₂₃₈.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 916692 + ... + 918708.

Almost surely, 2^1851000900 is an apocalyptic number.

1851000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1851000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363118080).

1851000900 is an abundant number, since it is smaller than the sum of its proper divisors (4875235260).

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

1851000900 is a wasteful number, since it uses less digits than its factorization.

1851000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1851000900 is about 43023.2599880576. The cubic root of 1851000900 is about 1227.8223747230.

The spelling of 1851000900 in words is "one billion, eight hundred fifty-one million, nine hundred", and thus it is an aban number.