8637457006081 has 2 divisors, whose sum is σ = 8637457006082. Its totient is φ = 8637457006080.

The previous prime is 8637457006051. The next prime is 8637457006111. The reversal of 8637457006081 is 1806007547368.

It is a balanced prime because it is at equal distance from previous prime (8637457006051) and next prime (8637457006111).

It can be written as a sum of positive squares in only one way, i.e., 5392357401025 + 3245099605056 = 2322145^2 + 1801416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8637457006081 is a prime.

It is a super-2 number, since 2×8637457006081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8637457006051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4318728503040 + 4318728503041.

It is an arithmetic number, because the mean of its divisors is an integer number (4318728503041).

Almost surely, 2^{8637457006081} is an apocalyptic number.

It is an amenable number.

8637457006081 is a deficient number, since it is larger than the sum of its proper divisors (1).

8637457006081 is an equidigital number, since it uses as much as digits as its factorization.

8637457006081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 8637457006081 in words is "eight trillion, six hundred thirty-seven billion, four hundred fifty-seven million, six thousand, eighty-one".