390168883225 has 81 divisors (see below), whose sum is σ = 547052260503. Its totient is φ = 275838816000.

The previous prime is 390168883177. The next prime is 390168883249. The reversal of 390168883225 is 522388861093.

The square root of 390168883225 is 624635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 360812858329 + 29356024896 = 600677^2 + 171336^2 .

It is not a de Polignac number, because 390168883225 - 2²⁷ = 390034665497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1408551787 + ... + 1408552063.

Almost surely, 2^390168883225 is an apocalyptic number.

390168883225 is the 624635-th square number.

390168883225 is the 312318-th centered octagonal number.

It is an amenable number.

390168883225 is a deficient number, since it is larger than the sum of its proper divisors (156883377278).

390168883225 is an equidigital number, since it uses as much as digits as its factorization.

390168883225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 390168883225 in words is "three hundred ninety billion, one hundred sixty-eight million, eight hundred eighty-three thousand, two hundred twenty-five".