981981902500 has 45 divisors (see below), whose sum is σ = 2147506380327. Its totient is φ = 392772942000.

The previous prime is 981981902413. The next prime is 981981902501. The reversal of 981981902500 is 5209189189.

The square root of 981981902500 is 990950.

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

981981902500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76987381156 + 904994521344 = 277466^2 + 951312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981981902501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49537591 + ... + 49557409.

Almost surely, 2^981981902500 is an apocalyptic number.

981981902500 is the 990950-th square number.

It is an amenable number.

981981902500 is an abundant number, since it is smaller than the sum of its proper divisors (1165524477827).

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

981981902500 is an frugal number, since it uses more digits than its factorization.

981981902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39662 (or 19826 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 52.

The spelling of 981981902500 in words is "nine hundred eighty-one billion, nine hundred eighty-one million, nine hundred two thousand, five hundred".