10577326161601 has 2 divisors, whose sum is σ = 10577326161602. Its totient is φ = 10577326161600.

The previous prime is 10577326161593. The next prime is 10577326161617. The reversal of 10577326161601 is 10616162377501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7922873857600 + 2654452304001 = 2814760^2 + 1629249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577326161601 - 2³ = 10577326161593 is a prime.

It is a super-2 number, since 2×10577326161601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10577326161691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288663080800 + 5288663080801.

It is an arithmetic number, because the mean of its divisors is an integer number (5288663080801).

Almost surely, 2^{10577326161601} is an apocalyptic number.

It is an amenable number.

10577326161601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577326161601 is an equidigital number, since it uses as much as digits as its factorization.

10577326161601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 10577326161601 in words is "ten trillion, five hundred seventy-seven billion, three hundred twenty-six million, one hundred sixty-one thousand, six hundred one".