8009126631 has 48 divisors (see below), whose sum is σ = 13392587520. Its totient is φ = 4564200960.

The previous prime is 8009126627. The next prime is 8009126659. The reversal of 8009126631 is 1366219008.

8009126631 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 12 + 6 + 631 = 666.

It is not a de Polignac number, because 8009126631 - 2² = 8009126627 is a prime.

It is a super-2 number, since 2×8009126631² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009126131) 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 47 ways as a sum of consecutive naturals, for example, 104535 + ... + 164151.

It is an arithmetic number, because the mean of its divisors is an integer number (279012240).

Almost surely, 2^8009126631 is an apocalyptic number.

8009126631 is a deficient number, since it is larger than the sum of its proper divisors (5383460889).

8009126631 is a wasteful number, since it uses less digits than its factorization.

8009126631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59716 (or 59713 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8009126631 is about 89493.7239754833. The cubic root of 8009126631 is about 2000.7602635464.

The spelling of 8009126631 in words is "eight billion, nine million, one hundred twenty-six thousand, six hundred thirty-one".