10585361103581 has 16 divisors (see below), whose sum is σ = 11663000025408. Its totient is φ = 9526960752000.

The previous prime is 10585361103547. The next prime is 10585361103631. The reversal of 10585361103581 is 18530116358501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10585361103581 is a prime.

It is a super-3 number, since 3×10585361103581³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585361103521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12743870 + ... + 13549056.

It is an arithmetic number, because the mean of its divisors is an integer number (728937501588).

Almost surely, 2^{10585361103581} is an apocalyptic number.

10585361103581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10585361103581 is a deficient number, since it is larger than the sum of its proper divisors (1077638921827).

10585361103581 is a wasteful number, since it uses less digits than its factorization.

10585361103581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817132.

The product of its (nonzero) digits is 432000, while the sum is 47.

The spelling of 10585361103581 in words is "ten trillion, five hundred eighty-five billion, three hundred sixty-one million, one hundred three thousand, five hundred eighty-one".