2511255541 has 2 divisors, whose sum is σ = 2511255542. Its totient is φ = 2511255540.

The previous prime is 2511255511. The next prime is 2511255557. The reversal of 2511255541 is 1455521152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2055262225 + 455993316 = 45335^2 + 21354^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511255541 - 2¹⁵ = 2511222773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2511255511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255627770 + 1255627771.

It is an arithmetic number, because the mean of its divisors is an integer number (1255627771).

Almost surely, 2^2511255541 is an apocalyptic number.

It is an amenable number.

2511255541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511255541 is an equidigital number, since it uses as much as digits as its factorization.

2511255541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10000, while the sum is 31.

The square root of 2511255541 is about 50112.4290071834. The cubic root of 2511255541 is about 1359.2425751098.

Adding to 2511255541 its reverse (1455521152), we get a palindrome (3966776693).

The spelling of 2511255541 in words is "two billion, five hundred eleven million, two hundred fifty-five thousand, five hundred forty-one".