240553202145013 has 2 divisors, whose sum is σ = 240553202145014. Its totient is φ = 240553202145012.

The previous prime is 240553202144977. The next prime is 240553202145017. The reversal of 240553202145013 is 310541202355042.

It is a happy number.

240553202145013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238816441893969 + 1736760251044 = 15453687^2 + 1317862^2 .

It is a cyclic number.

It is not a de Polignac number, because 240553202145013 - 2⁹ = 240553202144501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240553202145017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120276601072506 + 120276601072507.

It is an arithmetic number, because the mean of its divisors is an integer number (120276601072507).

Almost surely, 2^{240553202145013} is an apocalyptic number.

It is an amenable number.

240553202145013 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553202145013 is an equidigital number, since it uses as much as digits as its factorization.

240553202145013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 240553202145013 in words is "two hundred forty trillion, five hundred fifty-three billion, two hundred two million, one hundred forty-five thousand, thirteen".