290849883025 has 27 divisors (see below), whose sum is σ = 390577580211. Its totient is φ = 214755565440.

The previous prime is 290849883007. The next prime is 290849883073. The reversal of 290849883025 is 520388948092.

The square root of 290849883025 is 539305.

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 98290401169 + 192559481856 = 313513^2 + 438816^2 .

It is not a de Polignac number, because 290849883025 - 2⁹ = 290849882513 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35050677 + ... + 35058973.

Almost surely, 2^290849883025 is an apocalyptic number.

290849883025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290849883025 is the 539305-th square number.

290849883025 is the 269653-rd centered octagonal number.

It is an amenable number.

290849883025 is a deficient number, since it is larger than the sum of its proper divisors (99727697186).

290849883025 is an frugal number, since it uses more digits than its factorization.

290849883025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 290849883025 in words is "two hundred ninety billion, eight hundred forty-nine million, eight hundred eighty-three thousand, twenty-five".