242791088880025 has 45 divisors (see below), whose sum is σ = 351222399395231. Its totient is φ = 166482700354320.

The previous prime is 242791088879959. The next prime is 242791088880091. The reversal of 242791088880025 is 520088880197242.

It is a happy number.

The square root of 242791088880025 is 15581755.

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

It is an interprime number because it is at equal distance from previous prime (242791088879959) and next prime (242791088880091).

It can be written as a sum of positive squares in only one way, i.e., 87404791996809 + 155386296883216 = 9349053^2 + 12465404^2 .

It is not a de Polignac number, because 242791088880025 - 2¹³ = 242791088871833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3817498176 + ... + 3817561774.

Almost surely, 2^{242791088880025} is an apocalyptic number.

242791088880025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242791088880025 is the 15581755-th square number.

242791088880025 is the 7790878-th centered octagonal number.

It is an amenable number.

242791088880025 is a deficient number, since it is larger than the sum of its proper divisors (108431310515206).

242791088880025 is an frugal number, since it uses more digits than its factorization.

242791088880025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127236 (or 63611 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 64.

The spelling of 242791088880025 in words is "two hundred forty-two trillion, seven hundred ninety-one billion, eighty-eight million, eight hundred eighty thousand, twenty-five".