240553243352729 has 2 divisors, whose sum is σ = 240553243352730. Its totient is φ = 240553243352728.

The previous prime is 240553243352651. The next prime is 240553243352743. The reversal of 240553243352729 is 927253342355042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198859296655504 + 41693946697225 = 14101748^2 + 6457085^2 .

It is a cyclic number.

It is not a de Polignac number, because 240553243352729 - 2²⁴ = 240553226575513 is a prime.

It is a super-3 number, since 3×240553243352729³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (240553243352759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120276621676364 + 120276621676365.

It is an arithmetic number, because the mean of its divisors is an integer number (120276621676365).

Almost surely, 2^{240553243352729} is an apocalyptic number.

It is an amenable number.

240553243352729 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553243352729 is an equidigital number, since it uses as much as digits as its factorization.

240553243352729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432000, while the sum is 56.

The spelling of 240553243352729 in words is "two hundred forty trillion, five hundred fifty-three billion, two hundred forty-three million, three hundred fifty-two thousand, seven hundred twenty-nine".