90354245085225 has 567 divisors, whose sum is σ = 190869867836319. Its totient is φ = 42377733446400.

The previous prime is 90354245085119. The next prime is 90354245085239. The reversal of 90354245085225 is 52258054245309.

The square root of 90354245085225 is 9505485.

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

90354245085225 is a `hidden beast` number, since 9 + 0 + 3 + 542 + 45 + 0 + 8 + 52 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5646169881 + 90348598915344 = 75141^2 + 9505188^2 .

It is not a de Polignac number, because 90354245085225 - 2²⁷ = 90354110867497 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 522278873239 + ... + 522278873411.

Almost surely, 2^{90354245085225} is an apocalyptic number.

90354245085225 is the 9505485-th square number.

90354245085225 is the 4752743-rd centered octagonal number.

It is an amenable number.

90354245085225 is an abundant number, since it is smaller than the sum of its proper divisors (100515622751094).

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

90354245085225 is an equidigital number, since it uses as much as digits as its factorization.

90354245085225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 90354245085225 in words is "ninety trillion, three hundred fifty-four billion, two hundred forty-five million, eighty-five thousand, two hundred twenty-five".