10185361472581 has 8 divisors (see below), whose sum is σ = 10190389512024. Its totient is φ = 10180333954560.

The previous prime is 10185361472557. The next prime is 10185361472599. The reversal of 10185361472581 is 18527416358101.

10185361472581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5495390850625 + 4689970621956 = 2344225^2 + 2165634^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10185361472581 - 2¹¹ = 10185361470533 is a prime.

It is a super-2 number, since 2×10185361472581² (a number of 27 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 (10185361472501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42330891 + ... + 42570823.

It is an arithmetic number, because the mean of its divisors is an integer number (1273798689003).

Almost surely, 2^{10185361472581} is an apocalyptic number.

It is an amenable number.

10185361472581 is a deficient number, since it is larger than the sum of its proper divisors (5028039443).

10185361472581 is a wasteful number, since it uses less digits than its factorization.

10185361472581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260711.

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 10185361472581 in words is "ten trillion, one hundred eighty-five billion, three hundred sixty-one million, four hundred seventy-two thousand, five hundred eighty-one".