23627632540313 has 2 divisors, whose sum is σ = 23627632540314. Its totient is φ = 23627632540312.

The previous prime is 23627632540307. The next prime is 23627632540321. The reversal of 23627632540313 is 31304523672632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16557713159689 + 7069919380624 = 4069117^2 + 2658932^2 .

It is a cyclic number.

It is not a de Polignac number, because 23627632540313 - 2⁴⁰ = 22528120912537 is a prime.

It is a super-3 number, since 3×23627632540313³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (23627632540333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11813816270156 + 11813816270157.

It is an arithmetic number, because the mean of its divisors is an integer number (11813816270157).

Almost surely, 2^{23627632540313} is an apocalyptic number.

It is an amenable number.

23627632540313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23627632540313 is an equidigital number, since it uses as much as digits as its factorization.

23627632540313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 47.

The spelling of 23627632540313 in words is "twenty-three trillion, six hundred twenty-seven billion, six hundred thirty-two million, five hundred forty thousand, three hundred thirteen".