249511541 has 2 divisors, whose sum is σ = 249511542. Its totient is φ = 249511540.

The previous prime is 249511517. The next prime is 249511543. The reversal of 249511541 is 145115942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247936516 + 1575025 = 15746^2 + 1255^2 .

It is a cyclic number.

It is not a de Polignac number, because 249511541 - 2¹⁸ = 249249397 is a prime.

Together with 249511543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 249511498 and 249511507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249511543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124755770 + 124755771.

It is an arithmetic number, because the mean of its divisors is an integer number (124755771).

Almost surely, 2^249511541 is an apocalyptic number.

It is an amenable number.

249511541 is a deficient number, since it is larger than the sum of its proper divisors (1).

249511541 is an equidigital number, since it uses as much as digits as its factorization.

249511541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7200, while the sum is 32.

The square root of 249511541 is about 15795.9343186783. The cubic root of 249511541 is about 629.5499775998.

It can be divided in two parts, 249511 and 541, that added together give a palindrome (250052).

The spelling of 249511541 in words is "two hundred forty-nine million, five hundred eleven thousand, five hundred forty-one".