240553233215201 has 2 divisors, whose sum is σ = 240553233215202. Its totient is φ = 240553233215200.

The previous prime is 240553233215177. The next prime is 240553233215221. The reversal of 240553233215201 is 102512332355042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227909626248976 + 12643606966225 = 15096676^2 + 3555785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-240553233215201 is a prime.

It is not a weakly prime, because it can be changed into another prime (240553233215221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120276616607600 + 120276616607601.

It is an arithmetic number, because the mean of its divisors is an integer number (120276616607601).

Almost surely, 2^{240553233215201} is an apocalyptic number.

It is an amenable number.

240553233215201 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553233215201 is an equidigital number, since it uses as much as digits as its factorization.

240553233215201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 240553233215201 in words is "two hundred forty trillion, five hundred fifty-three billion, two hundred thirty-three million, two hundred fifteen thousand, two hundred one".