2553013242205 has 8 divisors (see below), whose sum is σ = 3063812357304. Its totient is φ = 2042279616000.

The previous prime is 2553013242203. The next prime is 2553013242229. The reversal of 2553013242205 is 5022423103552.

2553013242205 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 708039785401 + 1844973456804 = 841451^2 + 1358298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2553013242205 - 2¹ = 2553013242203 is a prime.

It is a super-2 number, since 2×2553013242205² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553013242203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16286416 + ... + 16442425.

It is an arithmetic number, because the mean of its divisors is an integer number (382976544663).

Almost surely, 2^{2553013242205} is an apocalyptic number.

It is an amenable number.

2553013242205 is a deficient number, since it is larger than the sum of its proper divisors (510799115099).

2553013242205 is a wasteful number, since it uses less digits than its factorization.

2553013242205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744447.

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 2553013242205 its reverse (5022423103552), we get a palindrome (7575436345757).

The spelling of 2553013242205 in words is "two trillion, five hundred fifty-three billion, thirteen million, two hundred forty-two thousand, two hundred five".