290213851225 has 27 divisors (see below), whose sum is σ = 362635096509. Its totient is φ = 230397631200.

The previous prime is 290213851219. The next prime is 290213851229. The reversal of 290213851225 is 522158312092.

The square root of 290213851225 is 538715.

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 8541641241 + 281672209984 = 92421^2 + 530728^2 .

It is not a de Polignac number, because 290213851225 - 2²⁵ = 290180296793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290213851229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 439052395 + ... + 439053055.

Almost surely, 2^290213851225 is an apocalyptic number.

290213851225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290213851225 is the 538715-th square number.

290213851225 is the 269358-th centered octagonal number.

It is an amenable number.

290213851225 is a deficient number, since it is larger than the sum of its proper divisors (72421245284).

290213851225 is an frugal number, since it uses more digits than its factorization.

290213851225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 290213851225 in words is "two hundred ninety billion, two hundred thirteen million, eight hundred fifty-one thousand, two hundred twenty-five".