2413813681 has 2 divisors, whose sum is σ = 2413813682. Its totient is φ = 2413813680.

The previous prime is 2413813657. The next prime is 2413813687. The reversal of 2413813681 is 1863183142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1538600625 + 875213056 = 39225^2 + 29584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2413813681 - 2¹³ = 2413805489 is a prime.

It is a super-2 number, since 2×2413813681² = 11652992973165539522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2413813681.

It is not a weakly prime, because it can be changed into another prime (2413813687) 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, 1206906840 + 1206906841.

It is an arithmetic number, because the mean of its divisors is an integer number (1206906841).

Almost surely, 2^2413813681 is an apocalyptic number.

It is an amenable number.

2413813681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413813681 is an equidigital number, since it uses as much as digits as its factorization.

2413813681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 37.

The square root of 2413813681 is about 49130.5778614500. The cubic root of 2413813681 is about 1341.4296913062.

The spelling of 2413813681 in words is "two billion, four hundred thirteen million, eight hundred thirteen thousand, six hundred eighty-one".