2553742952249 has 2 divisors, whose sum is σ = 2553742952250. Its totient is φ = 2553742952248.

The previous prime is 2553742952227. The next prime is 2553742952251. The reversal of 2553742952249 is 9422592473552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2059133161024 + 494609791225 = 1434968^2 + 703285^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553742952249 - 2³⁶ = 2485023475513 is a prime.

It is a super-2 number, since 2×2553742952249² (a number of 26 digits) contains 22 as substring.

Together with 2553742952251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2553742952549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276871476124 + 1276871476125.

It is an arithmetic number, because the mean of its divisors is an integer number (1276871476125).

Almost surely, 2^{2553742952249} is an apocalyptic number.

It is an amenable number.

2553742952249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553742952249 is an equidigital number, since it uses as much as digits as its factorization.

2553742952249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432000, while the sum is 59.

The spelling of 2553742952249 in words is "two trillion, five hundred fifty-three billion, seven hundred forty-two million, nine hundred fifty-two thousand, two hundred forty-nine".