971678638593 has 48 divisors (see below), whose sum is σ = 1515816054480. Its totient is φ = 596250243072.

The previous prime is 971678638583. The next prime is 971678638627. The reversal of 971678638593 is 395836876179.

971678638593 is a `hidden beast` number, since 9 + 7 + 167 + 86 + 385 + 9 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 537775822224 + 433902816369 = 733332^2 + 658713^2 .

It is not a de Polignac number, because 971678638593 - 2⁴ = 971678638577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971678638523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120417163 + ... + 120425231.

It is an arithmetic number, because the mean of its divisors is an integer number (31579501135).

Almost surely, 2^971678638593 is an apocalyptic number.

It is an amenable number.

971678638593 is a deficient number, since it is larger than the sum of its proper divisors (544137415887).

971678638593 is a wasteful number, since it uses less digits than its factorization.

971678638593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10895 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 971678638593 in words is "nine hundred seventy-one billion, six hundred seventy-eight million, six hundred thirty-eight thousand, five hundred ninety-three".