8053682085801 has 81 divisors (see below), whose sum is σ = 13370486904957. Its totient is φ = 4667552532720.

The previous prime is 8053682085707. The next prime is 8053682085803. The reversal of 8053682085801 is 1085802863508.

It is a happy number.

The square root of 8053682085801 is 2837901.

It is a perfect power (a square), and thus also a powerful number.

8053682085801 is a `hidden beast` number, since 8 + 0 + 5 + 36 + 8 + 20 + 8 + 580 + 1 = 666.

It is not a de Polignac number, because 8053682085801 - 2²³ = 8053673697193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8053682085803) 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 80 ways as a sum of consecutive naturals, for example, 2153964990 + ... + 2153968728.

Almost surely, 2^{8053682085801} is an apocalyptic number.

8053682085801 is the 2837901-st square number.

8053682085801 is the 1418951-st centered octagonal number.

It is an amenable number.

8053682085801 is a deficient number, since it is larger than the sum of its proper divisors (5316804819156).

8053682085801 is an equidigital number, since it uses as much as digits as its factorization.

8053682085801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 8053682085801 in words is "eight trillion, fifty-three billion, six hundred eighty-two million, eighty-five thousand, eight hundred one".