8261874957 has 32 divisors (see below), whose sum is σ = 12875296000. Its totient is φ = 4710472704.

The previous prime is 8261874941. The next prime is 8261874979. The reversal of 8261874957 is 7594781628.

8261874957 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8261874957 - 2⁴ = 8261874941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8261874897 and 8261874906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8261874997) 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 31 ways as a sum of consecutive naturals, for example, 461469 + ... + 479037.

It is an arithmetic number, because the mean of its divisors is an integer number (402353000).

Almost surely, 2^8261874957 is an apocalyptic number.

It is an amenable number.

8261874957 is a deficient number, since it is larger than the sum of its proper divisors (4613421043).

8261874957 is a wasteful number, since it uses less digits than its factorization.

8261874957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18050 (or 18036 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The square root of 8261874957 is about 90894.8566036605. The cubic root of 8261874957 is about 2021.5890314153.

The spelling of 8261874957 in words is "eight billion, two hundred sixty-one million, eight hundred seventy-four thousand, nine hundred fifty-seven".