10085572256841 has 9 divisors (see below), whose sum is σ = 14568062577159. Its totient is φ = 6723708486336.

The previous prime is 10085572256827. The next prime is 10085572256843. The reversal of 10085572256841 is 14865227558001.

The square root of 10085572256841 is 3175779.

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

10085572256841 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 5 + 72 + 2 + 568 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7445285246025 + 2640287010816 = 2728605^2 + 1624896^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10085572256841 - 2¹⁹ = 10085571732553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10085572256843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8998041 + ... + 10056633.

Almost surely, 2^{10085572256841} is an apocalyptic number.

10085572256841 is the 3175779-th square number.

10085572256841 is the 1587890-th centered octagonal number.

It is an amenable number.

10085572256841 is a deficient number, since it is larger than the sum of its proper divisors (4482490320318).

10085572256841 is an frugal number, since it uses more digits than its factorization.

10085572256841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117192 (or 1058596 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 10085572256841 in words is "ten trillion, eighty-five billion, five hundred seventy-two million, two hundred fifty-six thousand, eight hundred forty-one".