981635100625 has 15 divisors (see below), whose sum is σ = 1226682174333. Its totient is φ = 785288265000.

The previous prime is 981635100623. The next prime is 981635100637. The reversal of 981635100625 is 526001536189.

The square root of 981635100625 is 990775.

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

981635100625 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 76960191889 + 904674908736 = 277417^2 + 951144^2 .

It is not a de Polignac number, because 981635100625 - 2¹ = 981635100623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981635100623) 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, 24749560 + ... + 24789190.

Almost surely, 2^981635100625 is an apocalyptic number.

981635100625 is the 990775-th square number.

981635100625 is the 495388-th centered octagonal number.

It is an amenable number.

981635100625 is a deficient number, since it is larger than the sum of its proper divisors (245047073708).

981635100625 is an frugal number, since it uses more digits than its factorization.

981635100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79282 (or 39636 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 981635100625 in words is "nine hundred eighty-one billion, six hundred thirty-five million, one hundred thousand, six hundred twenty-five".