10328812539409 has 27 divisors (see below), whose sum is σ = 13010855492817. Its totient is φ = 8172015886944.

The previous prime is 10328812539329. The next prime is 10328812539421. The reversal of 10328812539409 is 90493521882301.

The square root of 10328812539409 is 3213847.

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

10328812539409 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 4 ways, for example, as 1421452909009 + 8907359630400 = 1192247^2 + 2984520^2 .

It is not a de Polignac number, because 10328812539409 - 2²⁹ = 10328275668497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10328812539409.

It is not an unprimeable number, because it can be changed into a prime (10328812539109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292442419 + ... + 292477735.

It is an arithmetic number, because the mean of its divisors is an integer number (481883536771).

Almost surely, 2^{10328812539409} is an apocalyptic number.

10328812539409 is the 3213847-th square number.

10328812539409 is the 1606924-th centered octagonal number.

It is an amenable number.

10328812539409 is a deficient number, since it is larger than the sum of its proper divisors (2682042953408).

10328812539409 is an frugal number, since it uses more digits than its factorization.

10328812539409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70674 (or 35337 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 10328812539409 in words is "ten trillion, three hundred twenty-eight billion, eight hundred twelve million, five hundred thirty-nine thousand, four hundred nine".