163090784025 has 243 divisors, whose sum is σ = 336927542679. Its totient is φ = 75367169280.

The previous prime is 163090783997. The next prime is 163090784029. The reversal of 163090784025 is 520487090361.

The square root of 163090784025 is 403845.

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

163090784025 is a `hidden beast` number, since 1 + 630 + 9 + 0 + 7 + 8 + 4 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 131544761481 + 31546022544 = 362691^2 + 177612^2 .

It is not a de Polignac number, because 163090784025 - 2²⁵ = 163057229593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (163090784029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1496245671 + ... + 1496245779.

It is a 1-persistent number, because it is pandigital, but 2⋅163090784025 = 326181568050 is not.

Almost surely, 2^163090784025 is an apocalyptic number.

163090784025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

163090784025 is the 403845-th square number.

163090784025 is the 201923-rd centered octagonal number.

It is an amenable number.

163090784025 is an abundant number, since it is smaller than the sum of its proper divisors (173836758654).

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

163090784025 is a wasteful number, since it uses less digits than its factorization.

163090784025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 163090784025 in words is "one hundred sixty-three billion, ninety million, seven hundred eighty-four thousand, twenty-five".