10582468121 has 8 divisors (see below), whose sum is σ = 10622926464. Its totient is φ = 10542073680.

The previous prime is 10582468103. The next prime is 10582468129. The reversal of 10582468121 is 12186428501.

10582468121 is digitally balanced in base 2, 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10582468121 is a prime.

It is a super-2 number, since 2×10582468121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10582468129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330026 + ... + 360668.

It is an arithmetic number, because the mean of its divisors is an integer number (1327865808).

Almost surely, 2^10582468121 is an apocalyptic number.

It is an amenable number.

10582468121 is a deficient number, since it is larger than the sum of its proper divisors (40458343).

10582468121 is an equidigital number, since it uses as much as digits as its factorization.

10582468121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31951.

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 10582468121 in words is "ten billion, five hundred eighty-two million, four hundred sixty-eight thousand, one hundred twenty-one".