2542302331253 has 8 divisors (see below), whose sum is σ = 2605616517336. Its totient is φ = 2479050374400.

The previous prime is 2542302331243. The next prime is 2542302331267. The reversal of 2542302331253 is 3521332032452.

2542302331253 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 4248693124 + 2538053638129 = 65182^2 + 1593127^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2542302331253 - 2³⁰ = 2541228589429 is a prime.

It is a super-2 number, since 2×2542302331253² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542302331213) 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, 15474578 + ... + 15638003.

It is an arithmetic number, because the mean of its divisors is an integer number (325702064667).

Almost surely, 2^{2542302331253} is an apocalyptic number.

It is an amenable number.

2542302331253 is a deficient number, since it is larger than the sum of its proper divisors (63314186083).

2542302331253 is a wasteful number, since it uses less digits than its factorization.

2542302331253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31114615.

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 2542302331253 in words is "two trillion, five hundred forty-two billion, three hundred two million, three hundred thirty-one thousand, two hundred fifty-three".