5057105777361 has 192 divisors, whose sum is σ = 8933267865600. Its totient is φ = 2720429107200.

The previous prime is 5057105777291. The next prime is 5057105777407. The reversal of 5057105777361 is 1637775017505.

5057105777361 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 1 + 0 + 577 + 7 + 3 + 61 = 666.

It is not a de Polignac number, because 5057105777361 - 2¹⁹ = 5057105253073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5057105777298 and 5057105777307.

It is not an unprimeable number, because it can be changed into a prime (5057105977361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 586054995 + ... + 586063623.

It is an arithmetic number, because the mean of its divisors is an integer number (46527436800).

Almost surely, 2^{5057105777361} is an apocalyptic number.

5057105777361 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5057105777361 is a deficient number, since it is larger than the sum of its proper divisors (3876162088239).

5057105777361 is a wasteful number, since it uses less digits than its factorization.

5057105777361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 5402250, while the sum is 54.

The spelling of 5057105777361 in words is "five trillion, fifty-seven billion, one hundred five million, seven hundred seventy-seven thousand, three hundred sixty-one".