99953984025 has 81 divisors (see below), whose sum is σ = 208327054143. Its totient is φ = 45678074400.

The previous prime is 99953983979. The next prime is 99953984027. The reversal of 99953984025 is 52048935999.

The square root of 99953984025 is 316155.

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

99953984025 is a `hidden beast` number, since 9 + 99 + 53 + 98 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35983434249 + 63970549776 = 189693^2 + 252924^2 .

It is not a de Polignac number, because 99953984025 - 2²¹ = 99951886873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (99953984027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33194770 + ... + 33197780.

Almost surely, 2^99953984025 is an apocalyptic number.

99953984025 is the 316155-th square number.

99953984025 is the 158078-th centered octagonal number.

It is an amenable number.

99953984025 is an abundant number, since it is smaller than the sum of its proper divisors (108373070118).

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

99953984025 is an equidigital number, since it uses as much as digits as its factorization.

99953984025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 99953984025 in words is "ninety-nine billion, nine hundred fifty-three million, nine hundred eighty-four thousand, twenty-five".