290527680025 has 24 divisors (see below), whose sum is σ = 402144377184. Its totient is φ = 206379062400.

The previous prime is 290527680019. The next prime is 290527680029. The reversal of 290527680025 is 520086725092.

It is not a de Polignac number, because 290527680025 - 2³ = 290527680017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290527680029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12272644 + ... + 12296293.

It is an arithmetic number, because the mean of its divisors is an integer number (16756015716).

Almost surely, 2^290527680025 is an apocalyptic number.

290527680025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

290527680025 is a deficient number, since it is larger than the sum of its proper divisors (111616697159).

290527680025 is a wasteful number, since it uses less digits than its factorization.

290527680025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24569001 (or 24568996 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

It can be divided in two parts, 29052 and 7680025, that added together give a palindrome (7709077).

The spelling of 290527680025 in words is "two hundred ninety billion, five hundred twenty-seven million, six hundred eighty thousand, twenty-five".