249288541 has 2 divisors, whose sum is σ = 249288542. Its totient is φ = 249288540.

The previous prime is 249288491. The next prime is 249288551. The reversal of 249288541 is 145882942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231192025 + 18096516 = 15205^2 + 4254^2 .

It is a cyclic number.

It is not a de Polignac number, because 249288541 - 2¹⁹ = 248764253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249288551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124644270 + 124644271.

It is an arithmetic number, because the mean of its divisors is an integer number (124644271).

Almost surely, 2^249288541 is an apocalyptic number.

It is an amenable number.

249288541 is a deficient number, since it is larger than the sum of its proper divisors (1).

249288541 is an equidigital number, since it uses as much as digits as its factorization.

249288541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 184320, while the sum is 43.

The square root of 249288541 is about 15788.8739623825. The cubic root of 249288541 is about 629.3623690567.

The spelling of 249288541 in words is "two hundred forty-nine million, two hundred eighty-eight thousand, five hundred forty-one".