2542405245013 has 2 divisors, whose sum is σ = 2542405245014. Its totient is φ = 2542405245012.

The previous prime is 2542405244993. The next prime is 2542405245031. The reversal of 2542405245013 is 3105425042452.

Together with next prime (2542405245031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1866849470929 + 675555774084 = 1366327^2 + 821922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2542405245013 - 2²⁵ = 2542371690581 is a prime.

It is a super-2 number, since 2×2542405245013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2542405245613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1271202622506 + 1271202622507.

It is an arithmetic number, because the mean of its divisors is an integer number (1271202622507).

Almost surely, 2^{2542405245013} is an apocalyptic number.

It is an amenable number.

2542405245013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2542405245013 is an equidigital number, since it uses as much as digits as its factorization.

2542405245013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 2542405245013 in words is "two trillion, five hundred forty-two billion, four hundred five million, two hundred forty-five thousand, thirteen".