2541372257 has 2 divisors, whose sum is σ = 2541372258. Its totient is φ = 2541372256.

The previous prime is 2541372217. The next prime is 2541372263. The reversal of 2541372257 is 7522731452.

2541372257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2539756816 + 1615441 = 50396^2 + 1271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541372257 - 2⁶ = 2541372193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2541372257.

It is not a weakly prime, because it can be changed into another prime (2541372217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270686128 + 1270686129.

It is an arithmetic number, because the mean of its divisors is an integer number (1270686129).

Almost surely, 2^2541372257 is an apocalyptic number.

It is an amenable number.

2541372257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541372257 is an equidigital number, since it uses as much as digits as its factorization.

2541372257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 117600, while the sum is 38.

The square root of 2541372257 is about 50412.0249246150. The cubic root of 2541372257 is about 1364.6546567848.

The spelling of 2541372257 in words is "two billion, five hundred forty-one million, three hundred seventy-two thousand, two hundred fifty-seven".