2553003052541 has 2 divisors, whose sum is σ = 2553003052542. Its totient is φ = 2553003052540.

The previous prime is 2553003052513. The next prime is 2553003052543. The reversal of 2553003052541 is 1452503003552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2255841786916 + 297161265625 = 1501946^2 + 545125^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553003052541 - 2³⁴ = 2535823183357 is a prime.

Together with 2553003052543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553003052543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276501526270 + 1276501526271.

It is an arithmetic number, because the mean of its divisors is an integer number (1276501526271).

Almost surely, 2^{2553003052541} is an apocalyptic number.

It is an amenable number.

2553003052541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553003052541 is an equidigital number, since it uses as much as digits as its factorization.

2553003052541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 2553003052541 in words is "two trillion, five hundred fifty-three billion, three million, fifty-two thousand, five hundred forty-one".