8006493577 has 2 divisors, whose sum is σ = 8006493578. Its totient is φ = 8006493576.

The previous prime is 8006493563. The next prime is 8006493617. The reversal of 8006493577 is 7753946008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6889664016 + 1116829561 = 83004^2 + 33419^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006493577 - 2²³ = 7998104969 is a prime.

It is a super-3 number, since 3×8006493577³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8006493577.

It is not a weakly prime, because it can be changed into another prime (8006494577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003246788 + 4003246789.

It is an arithmetic number, because the mean of its divisors is an integer number (4003246789).

Almost surely, 2^8006493577 is an apocalyptic number.

It is an amenable number.

8006493577 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006493577 is an equidigital number, since it uses as much as digits as its factorization.

8006493577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 8006493577 is about 89479.0119357607. The cubic root of 8006493577 is about 2000.5409850710.

The spelling of 8006493577 in words is "eight billion, six million, four hundred ninety-three thousand, five hundred seventy-seven".