27131812001 has 18 divisors (see below), whose sum is σ = 31640061942. Its totient is φ = 23198051520.

The previous prime is 27131811947. The next prime is 27131812049. The reversal of 27131812001 is 10021813172.

It can be written as a sum of positive squares in 3 ways, for example, as 6629867776 + 20501944225 = 81424^2 + 143185^2 .

It is not a de Polignac number, because 27131812001 - 2⁶ = 27131811937 is a prime.

It is a super-2 number, since 2×27131812001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131817001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31807091 + ... + 31807943.

It is an arithmetic number, because the mean of its divisors is an integer number (1757781219).

Almost surely, 2^27131812001 is an apocalyptic number.

It is an amenable number.

27131812001 is a deficient number, since it is larger than the sum of its proper divisors (4508249941).

27131812001 is an frugal number, since it uses more digits than its factorization.

27131812001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 27131812001 in words is "twenty-seven billion, one hundred thirty-one million, eight hundred twelve thousand, one".