671675526657 has 12 divisors (see below), whose sum is σ = 971566395540. Its totient is φ = 447152109408.

The previous prime is 671675526647. The next prime is 671675526667. The reversal of 671675526657 is 756625576176.

671675526657 is a `hidden beast` number, since 6 + 7 + 16 + 7 + 552 + 6 + 65 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (671675526647) and next prime (671675526667).

It can be written as a sum of positive squares in 2 ways, for example, as 56743527681 + 614931998976 = 238209^2 + 784176^2 .

It is not a de Polignac number, because 671675526657 - 2¹² = 671675522561 is a prime.

It is a super-2 number, since 2×671675526657² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 671675526594 and 671675526603.

It is not an unprimeable number, because it can be changed into a prime (671675526637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52624518 + ... + 52637279.

It is an arithmetic number, because the mean of its divisors is an integer number (80963866295).

Almost surely, 2^671675526657 is an apocalyptic number.

It is an amenable number.

671675526657 is a deficient number, since it is larger than the sum of its proper divisors (299890868883).

671675526657 is a wasteful number, since it uses less digits than its factorization.

671675526657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105262512 (or 105262509 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 671675526657 in words is "six hundred seventy-one billion, six hundred seventy-five million, five hundred twenty-six thousand, six hundred fifty-seven".