415968311137 has 2 divisors, whose sum is σ = 415968311138. Its totient is φ = 415968311136.

The previous prime is 415968311113. The next prime is 415968311141. The reversal of 415968311137 is 731113869514.

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., 239816863521 + 176151447616 = 489711^2 + 419704^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-415968311137 is a prime.

It is not a weakly prime, because it can be changed into another prime (415968311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207984155568 + 207984155569.

It is an arithmetic number, because the mean of its divisors is an integer number (207984155569).

Almost surely, 2^415968311137 is an apocalyptic number.

It is an amenable number.

415968311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

415968311137 is an equidigital number, since it uses as much as digits as its factorization.

415968311137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 49.

The spelling of 415968311137 in words is "four hundred fifteen billion, nine hundred sixty-eight million, three hundred eleven thousand, one hundred thirty-seven".