10002561 has 8 divisors (see below), whose sum is σ = 13353120. Its totient is φ = 6660192.

The previous prime is 10002547. The next prime is 10002563. The reversal of 10002561 is 16520001.

10002561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10002561 - 2⁵ = 10002529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002561.

It is not an unprimeable number, because it can be changed into a prime (10002563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885 + ... + 4853.

It is an arithmetic number, because the mean of its divisors is an integer number (1669140).

Almost surely, 2^10002561 is an apocalyptic number.

It is an amenable number.

10002561 is a deficient number, since it is larger than the sum of its proper divisors (3350559).

10002561 is a wasteful number, since it uses less digits than its factorization.

10002561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10002561 is about 3162.6825639005. The cubic root of 10002561 is about 215.4618591242.

Adding to 10002561 its reverse (16520001), we get a palindrome (26522562).

The spelling of 10002561 in words is "ten million, two thousand, five hundred sixty-one".