11621661132577 has 2 divisors, whose sum is σ = 11621661132578. Its totient is φ = 11621661132576.

The previous prime is 11621661132517. The next prime is 11621661132583. The reversal of 11621661132577 is 77523116612611.

11621661132577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11462009742481 + 159651390096 = 3385559^2 + 399564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11621661132577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11621661132577.

It is not a weakly prime, because it can be changed into another prime (11621661132517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5810830566288 + 5810830566289.

It is an arithmetic number, because the mean of its divisors is an integer number (5810830566289).

Almost surely, 2^{11621661132577} is an apocalyptic number.

It is an amenable number.

11621661132577 is a deficient number, since it is larger than the sum of its proper divisors (1).

11621661132577 is an equidigital number, since it uses as much as digits as its factorization.

11621661132577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 635040, while the sum is 49.

The spelling of 11621661132577 in words is "eleven trillion, six hundred twenty-one billion, six hundred sixty-one million, one hundred thirty-two thousand, five hundred seventy-seven".