677983438053 has 24 divisors (see below), whose sum is σ = 1036949306328. Its totient is φ = 425387645952.

The previous prime is 677983438039. The next prime is 677983438079. The reversal of 677983438053 is 350834389776.

677983438053 is a `hidden beast` number, since 6 + 7 + 79 + 83 + 438 + 0 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270865764 + 677712572289 = 16458^2 + 823233^2 .

It is not a de Polignac number, because 677983438053 - 2⁵ = 677983438021 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677983438553) 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 23 ways as a sum of consecutive naturals, for example, 6899401 + ... + 6996977.

It is an arithmetic number, because the mean of its divisors is an integer number (43206221097).

Almost surely, 2^677983438053 is an apocalyptic number.

It is an amenable number.

677983438053 is a deficient number, since it is larger than the sum of its proper divisors (358965868275).

677983438053 is a wasteful number, since it uses less digits than its factorization.

677983438053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143013 (or 143010 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 677983438053 in words is "six hundred seventy-seven billion, nine hundred eighty-three million, four hundred thirty-eight thousand, fifty-three".