414024013153 has 2 divisors, whose sum is σ = 414024013154. Its totient is φ = 414024013152.

The previous prime is 414024013129. The next prime is 414024013163. The reversal of 414024013153 is 351310420414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302403207744 + 111620805409 = 549912^2 + 334097^2 .

It is a cyclic number.

It is not a de Polignac number, because 414024013153 - 2³³ = 405434078561 is a prime.

It is not a weakly prime, because it can be changed into another prime (414024013163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207012006576 + 207012006577.

It is an arithmetic number, because the mean of its divisors is an integer number (207012006577).

Almost surely, 2^414024013153 is an apocalyptic number.

It is an amenable number.

414024013153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414024013153 is an equidigital number, since it uses as much as digits as its factorization.

414024013153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 414024013153 its reverse (351310420414), we get a palindrome (765334433567).

The spelling of 414024013153 in words is "four hundred fourteen billion, twenty-four million, thirteen thousand, one hundred fifty-three".