10355323575677 has 2 divisors, whose sum is σ = 10355323575678. Its totient is φ = 10355323575676.

The previous prime is 10355323575637. The next prime is 10355323575689. The reversal of 10355323575677 is 77657532355301.

10355323575677 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., 10293965313241 + 61358262436 = 3208421^2 + 247706^2 .

It is an emirp because it is prime and its reverse (77657532355301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10355323575677 - 2¹⁴ = 10355323559293 is a prime.

It is a super-3 number, since 3×10355323575677³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10355323575617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5177661787838 + 5177661787839.

It is an arithmetic number, because the mean of its divisors is an integer number (5177661787839).

Almost surely, 2^{10355323575677} is an apocalyptic number.

It is an amenable number.

10355323575677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10355323575677 is an equidigital number, since it uses as much as digits as its factorization.

10355323575677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69457500, while the sum is 59.

The spelling of 10355323575677 in words is "ten trillion, three hundred fifty-five billion, three hundred twenty-three million, five hundred seventy-five thousand, six hundred seventy-seven".