9042520252409 has 24 divisors (see below), whose sum is σ = 10775975502600. Its totient is φ = 7561290750720.

The previous prime is 9042520252397. The next prime is 9042520252517.

9042520252409 is nontrivially palindromic in base 10.

9042520252409 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 489294400 + 9042030958009 = 22120^2 + 3006997^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9042520252409 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9042520252409.

It is not an unprimeable number, because it can be changed into a prime (9042520552409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41656847 + ... + 41873355.

It is an arithmetic number, because the mean of its divisors is an integer number (448998979275).

Almost surely, 2^{9042520252409} is an apocalyptic number.

It is an amenable number.

9042520252409 is a deficient number, since it is larger than the sum of its proper divisors (1733455250191).

9042520252409 is a wasteful number, since it uses less digits than its factorization.

9042520252409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237353 (or 237346 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

It can be divided in two parts, 9042520 and 252409, that added together give a palindrome (9294929).

The spelling of 9042520252409 in words is "nine trillion, forty-two billion, five hundred twenty million, two hundred fifty-two thousand, four hundred nine".