98570253681 has 27 divisors (see below), whose sum is σ = 143317316961. Its totient is φ = 65283378624.

The previous prime is 98570253673. The next prime is 98570253709. The reversal of 98570253681 is 18635207589.

The square root of 98570253681 is 313959.

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

98570253681 is a `hidden beast` number, since 9 + 8 + 570 + 2 + 5 + 3 + 68 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63269856225 + 35300397456 = 251535^2 + 187884^2 .

It is not a de Polignac number, because 98570253681 - 2³ = 98570253673 is a prime.

It is a super-2 number, since 2×98570253681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98570263681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215689605 + ... + 215690061.

Almost surely, 2^98570253681 is an apocalyptic number.

98570253681 is the 313959-th square number.

98570253681 is the 156980-th centered octagonal number.

It is an amenable number.

98570253681 is a deficient number, since it is larger than the sum of its proper divisors (44747063280).

98570253681 is an frugal number, since it uses more digits than its factorization.

98570253681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 98570253681 in words is "ninety-eight billion, five hundred seventy million, two hundred fifty-three thousand, six hundred eighty-one".