240555916225 has 27 divisors (see below), whose sum is σ = 300288312219. Its totient is φ = 191163638400.

The previous prime is 240555916169. The next prime is 240555916247. The reversal of 240555916225 is 522619555042.

The square root of 240555916225 is 490465.

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 205637761729 + 34918154496 = 453473^2 + 186864^2 .

It is not a de Polignac number, because 240555916225 - 2⁹ = 240555915713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 571391515 + ... + 571391935.

Almost surely, 2^240555916225 is an apocalyptic number.

240555916225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240555916225 is the 490465-th square number.

240555916225 is the 245233-rd centered octagonal number.

It is an amenable number.

240555916225 is a deficient number, since it is larger than the sum of its proper divisors (59732395994).

240555916225 is an frugal number, since it uses more digits than its factorization.

240555916225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 240555916225 in words is "two hundred forty billion, five hundred fifty-five million, nine hundred sixteen thousand, two hundred twenty-five".