93553398225 has 135 divisors (see below), whose sum is σ = 201793826091. Its totient is φ = 42723223200.

The previous prime is 93553398217. The next prime is 93553398293. The reversal of 93553398225 is 52289335539.

The square root of 93553398225 is 305865.

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

93553398225 is a `hidden beast` number, since 9 + 3 + 5 + 533 + 9 + 82 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33679223361 + 59874174864 = 183519^2 + 244692^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 93553398225 - 2³ = 93553398217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 96346990 + ... + 96347960.

Almost surely, 2^93553398225 is an apocalyptic number.

93553398225 is the 305865-th square number.

93553398225 is the 152933-rd centered octagonal number.

It is an amenable number.

93553398225 is an abundant number, since it is smaller than the sum of its proper divisors (108240427866).

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

93553398225 is an frugal number, since it uses more digits than its factorization.

93553398225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 986 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 93553398225 in words is "ninety-three billion, five hundred fifty-three million, three hundred ninety-eight thousand, two hundred twenty-five".