3623141410513 has 2 divisors, whose sum is σ = 3623141410514. Its totient is φ = 3623141410512.

The previous prime is 3623141410429. The next prime is 3623141410529. The reversal of 3623141410513 is 3150141413263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3517245186624 + 105896223889 = 1875432^2 + 325417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3623141410513 is a prime.

It is not a weakly prime, because it can be changed into another prime (3623141410543) 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, 1811570705256 + 1811570705257.

It is an arithmetic number, because the mean of its divisors is an integer number (1811570705257).

Almost surely, 2^{3623141410513} is an apocalyptic number.

It is an amenable number.

3623141410513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3623141410513 is an equidigital number, since it uses as much as digits as its factorization.

3623141410513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 3623141410513 its reverse (3150141413263), we get a palindrome (6773282823776).

The spelling of 3623141410513 in words is "three trillion, six hundred twenty-three billion, one hundred forty-one million, four hundred ten thousand, five hundred thirteen".