577776443657381 has 2 divisors, whose sum is σ = 577776443657382. Its totient is φ = 577776443657380.

The previous prime is 577776443657311. The next prime is 577776443657429. The reversal of 577776443657381 is 183756344677775.

577776443657381 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., 354712361448481 + 223064082208900 = 18833809^2 + 14935330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-577776443657381 is a prime.

It is a super-2 number, since 2×577776443657381² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 577776443657296 and 577776443657305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (577776443657311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288888221828690 + 288888221828691.

It is an arithmetic number, because the mean of its divisors is an integer number (288888221828691).

Almost surely, 2^{577776443657381} is an apocalyptic number.

It is an amenable number.

577776443657381 is a deficient number, since it is larger than the sum of its proper divisors (1).

577776443657381 is an equidigital number, since it uses as much as digits as its factorization.

577776443657381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17425497600, while the sum is 80.

The spelling of 577776443657381 in words is "five hundred seventy-seven trillion, seven hundred seventy-six billion, four hundred forty-three million, six hundred fifty-seven thousand, three hundred eighty-one".