10042561 has 3 divisors (see below), whose sum is σ = 10045731. Its totient is φ = 10039392.

The previous prime is 10042553. The next prime is 10042579. The reversal of 10042561 is 16524001.

The square root of 10042561 is 3169.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8300161 + 1742400 = 2881^2 + 1320^2 .

It is not a de Polignac number, because 10042561 - 2³ = 10042553 is a prime.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1585 + ... + 4753.

It is an arithmetic number, because the mean of its divisors is an integer number (3348577).

Almost surely, 2^10042561 is an apocalyptic number.

10042561 is the 3169-th square number.

10042561 is the 1585-th centered octagonal number.

It is an amenable number.

10042561 is a deficient number, since it is larger than the sum of its proper divisors (3170).

10042561 is an frugal number, since it uses more digits than its factorization.

10042561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The cubic root of 10042561 is about 215.7486860499.

Adding to 10042561 its reverse (16524001), we get a palindrome (26566562).

The spelling of 10042561 in words is "ten million, forty-two thousand, five hundred sixty-one".