10201581 has 48 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 5626368.

The previous prime is 10201577. The next prime is 10201589. The reversal of 10201581 is 18510201.

10201581 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201581 - 2² = 10201577 is a prime.

It is a super-2 number, since 2×10201581² = 208144509799122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45636 + ... + 45858.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^10201581 is an apocalyptic number.

It is an amenable number.

10201581 is a deficient number, since it is larger than the sum of its proper divisors (7410195).

10201581 is a wasteful number, since it uses less digits than its factorization.

10201581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10201581 is about 3193.9913900948. The cubic root of 10201581 is about 216.8814929111.

Adding to 10201581 its reverse (18510201), we get a palindrome (28711782).

It can be divided in two parts, 1020 and 1581, that added together give a square (2601 = 51²).

The spelling of 10201581 in words is "ten million, two hundred one thousand, five hundred eighty-one".