98819066025 has 81 divisors (see below), whose sum is σ = 186971307159. Its totient is φ = 49884366240.

The previous prime is 98819065999. The next prime is 98819066033. The reversal of 98819066025 is 52066091889.

It is a happy number.

The square root of 98819066025 is 314355.

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

It can be written as a sum of positive squares in only one way, i.e., 35574863769 + 63244202256 = 188613^2 + 251484^2 .

It is not a de Polignac number, because 98819066025 - 2¹¹ = 98819063977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89590624 + ... + 89591726.

Almost surely, 2^98819066025 is an apocalyptic number.

98819066025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

98819066025 is the 314355-th square number.

98819066025 is the 157178-th centered octagonal number.

It is an amenable number.

98819066025 is a deficient number, since it is larger than the sum of its proper divisors (88152241134).

98819066025 is a wasteful number, since it uses less digits than its factorization.

98819066025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 98819066025 in words is "ninety-eight billion, eight hundred nineteen million, sixty-six thousand, twenty-five".