99537095025 has 243 divisors, whose sum is σ = 200267823873. Its totient is φ = 49065782400.

The previous prime is 99537094999. The next prime is 99537095069. The reversal of 99537095025 is 52059073599.

The square root of 99537095025 is 315495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41896767969 + 57640327056 = 204687^2 + 240084^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 99537095025 - 2²⁵ = 99503540593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2427734005 + ... + 2427734045.

Almost surely, 2^99537095025 is an apocalyptic number.

99537095025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

99537095025 is the 315495-th square number.

99537095025 is the 157748-th centered octagonal number.

It is an amenable number.

99537095025 is an abundant number, since it is smaller than the sum of its proper divisors (100730728848).

99537095025 is an frugal number, since it uses more digits than its factorization.

99537095025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 99537095025 in words is "ninety-nine billion, five hundred thirty-seven million, ninety-five thousand, twenty-five".