677361901057 has 12 divisors (see below), whose sum is σ = 718635025836. Its totient is φ = 638053230080.

The previous prime is 677361901039. The next prime is 677361901081. The reversal of 677361901057 is 750109163776.

It can be written as a sum of positive squares in 6 ways, for example, as 149648280336 + 527713620721 = 386844^2 + 726439^2 .

It is not a de Polignac number, because 677361901057 - 2²³ = 677353512449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 677361900995 and 677361901013.

It is not an unprimeable number, because it can be changed into a prime (677361902057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9787768 + ... + 9856729.

It is an arithmetic number, because the mean of its divisors is an integer number (59886252153).

Almost surely, 2^677361901057 is an apocalyptic number.

It is an amenable number.

677361901057 is a deficient number, since it is larger than the sum of its proper divisors (41273124779).

677361901057 is a wasteful number, since it uses less digits than its factorization.

677361901057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644596 (or 19644567 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 52.

The spelling of 677361901057 in words is "six hundred seventy-seven billion, three hundred sixty-one million, nine hundred one thousand, fifty-seven".