249513641 has 12 divisors (see below), whose sum is σ = 285447372. Its totient is φ = 216768768.

The previous prime is 249513617. The next prime is 249513697. The reversal of 249513641 is 146315942.

It can be written as a sum of positive squares in 6 ways, for example, as 25 + 249513616 = 5^2 + 15796^2 .

It is not a de Polignac number, because 249513641 - 2¹⁴ = 249497257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (249513601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29450 + ... + 36963.

It is an arithmetic number, because the mean of its divisors is an integer number (23787281).

Almost surely, 2^249513641 is an apocalyptic number.

It is an amenable number.

249513641 is a deficient number, since it is larger than the sum of its proper divisors (35933731).

249513641 is a wasteful number, since it uses less digits than its factorization.

249513641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66460 (or 66443 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 249513641 is about 15796.0007913396. Note that the first 3 decimals coincide. The cubic root of 249513641 is about 629.5517437856.

The spelling of 249513641 in words is "two hundred forty-nine million, five hundred thirteen thousand, six hundred forty-one".