10526121 has 12 divisors (see below), whose sum is σ = 15317172. Its totient is φ = 6965376.

The previous prime is 10526071. The next prime is 10526129. The reversal of 10526121 is 12162501.

10526121 is a `hidden beast` number, since 1 + 0 + 52 + 612 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7901721 + 2624400 = 2811^2 + 1620^2 .

It is not a de Polignac number, because 10526121 - 2⁷ = 10525993 is a prime.

It is a super-2 number, since 2×10526121² = 221598446613282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10526094 and 10526103.

It is not an unprimeable number, because it can be changed into a prime (10526129) 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 11 ways as a sum of consecutive naturals, for example, 3036 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (1276431).

Almost surely, 2^10526121 is an apocalyptic number.

It is an amenable number.

10526121 is a deficient number, since it is larger than the sum of its proper divisors (4791051).

10526121 is a wasteful number, since it uses less digits than its factorization.

10526121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10526121 is about 3244.3984034024. The cubic root of 10526121 is about 219.1573898319.

Adding to 10526121 its reverse (12162501), we get a palindrome (22688622).

The spelling of 10526121 in words is "ten million, five hundred twenty-six thousand, one hundred twenty-one".