290181529225 has 27 divisors (see below), whose sum is σ = 418599248391. Its totient is φ = 198968691600.

The previous prime is 290181529181. The next prime is 290181529259. The reversal of 290181529225 is 522925181092.

The square root of 290181529225 is 538685.

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

It can be written as a sum of positive squares in only one way, i.e., 104465350521 + 185716178704 = 323211^2 + 430948^2 .

It is not a de Polignac number, because 290181529225 - 2¹¹ = 290181527177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18846280 + ... + 18861670.

Almost surely, 2^290181529225 is an apocalyptic number.

290181529225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290181529225 is the 538685-th square number.

290181529225 is the 269343-rd centered octagonal number.

It is an amenable number.

290181529225 is a deficient number, since it is larger than the sum of its proper divisors (128417719166).

290181529225 is an frugal number, since it uses more digits than its factorization.

290181529225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30806 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 290181529225 in words is "two hundred ninety billion, one hundred eighty-one million, five hundred twenty-nine thousand, two hundred twenty-five".