11626251624601 has 2 divisors, whose sum is σ = 11626251624602. Its totient is φ = 11626251624600.

The previous prime is 11626251624599. The next prime is 11626251624643. The reversal of 11626251624601 is 10642615262611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8622092595600 + 3004159029001 = 2936340^2 + 1733251^2 .

It is a cyclic number.

It is not a de Polignac number, because 11626251624601 - 2¹ = 11626251624599 is a prime.

Together with 11626251624599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11626251628601) 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, 5813125812300 + 5813125812301.

It is an arithmetic number, because the mean of its divisors is an integer number (5813125812301).

Almost surely, 2^{11626251624601} is an apocalyptic number.

It is an amenable number.

11626251624601 is a deficient number, since it is larger than the sum of its proper divisors (1).

11626251624601 is an equidigital number, since it uses as much as digits as its factorization.

11626251624601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 11626251624601 in words is "eleven trillion, six hundred twenty-six billion, two hundred fifty-one million, six hundred twenty-four thousand, six hundred one".