27731951001 has 12 divisors (see below), whose sum is σ = 40061858980. Its totient is φ = 18485845920.

The previous prime is 27731950997. The next prime is 27731951003. The reversal of 27731951001 is 10015913772.

It can be written as a sum of positive squares in 2 ways, for example, as 7867867401 + 19864083600 = 88701^2 + 140940^2 .

It is not a de Polignac number, because 27731951001 - 2² = 27731950997 is a prime.

It is a super-2 number, since 2×27731951001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27731951003) 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 11 ways as a sum of consecutive naturals, for example, 91846 + ... + 252783.

Almost surely, 2^27731951001 is an apocalyptic number.

It is an amenable number.

27731951001 is a deficient number, since it is larger than the sum of its proper divisors (12329907979).

27731951001 is a wasteful number, since it uses less digits than its factorization.

27731951001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353576 (or 353573 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 27731951001 in words is "twenty-seven billion, seven hundred thirty-one million, nine hundred fifty-one thousand, one".