10402561 has 16 divisors (see below), whose sum is σ = 11889360. Its totient is φ = 9031680.

The previous prime is 10402559. The next prime is 10402583. The reversal of 10402561 is 16520401.

10402561 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 8 ways, for example, as 2873025 + 7529536 = 1695^2 + 2744^2 .

It is a 2-Lehmer number, since φ(10402561) divides (10402561-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 10402561 - 2¹ = 10402559 is a prime.

It is a deceptive number, since it divides R_10402560.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10402501) 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, 15121 + ... + 15793.

It is an arithmetic number, because the mean of its divisors is an integer number (743085).

It is a Poulet number, since it divides 2^10402560-1.

Almost surely, 2^10402561 is an apocalyptic number.

It is an amenable number.

10402561 is a deficient number, since it is larger than the sum of its proper divisors (1486799).

10402561 is a wasteful number, since it uses less digits than its factorization.

10402561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756.

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

The square root of 10402561 is about 3225.3001410721. The cubic root of 10402561 is about 218.2964921749.

Adding to 10402561 its reverse (16520401), we get a palindrome (26922962).

The spelling of 10402561 in words is "ten million, four hundred two thousand, five hundred sixty-one".