363082163731225 has 27 divisors (see below), whose sum is σ = 450688188353949. Its totient is φ = 290165200020000.

The previous prime is 363082163731121. The next prime is 363082163731241. The reversal of 363082163731225 is 522137361280363.

The square root of 363082163731225 is 19054715.

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 24368469492249 + 338713694238976 = 4936443^2 + 18404176^2 .

It is not a de Polignac number, because 363082163731225 - 2¹⁹ = 363082163206937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161298161350 + ... + 161298163600.

Almost surely, 2^{363082163731225} is an apocalyptic number.

363082163731225 is the 19054715-th square number.

363082163731225 is the 9527358-th centered octagonal number.

It is an amenable number.

363082163731225 is a deficient number, since it is larger than the sum of its proper divisors (87606024622724).

363082163731225 is an frugal number, since it uses more digits than its factorization.

363082163731225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 363082163731225 in words is "three hundred sixty-three trillion, eighty-two billion, one hundred sixty-three million, seven hundred thirty-one thousand, two hundred twenty-five".