249524641 has 8 divisors (see below), whose sum is σ = 253002024. Its totient is φ = 246067200.

The previous prime is 249524621. The next prime is 249524659. The reversal of 249524641 is 146425942.

It can be written as a sum of positive squares in 4 ways, for example, as 240374016 + 9150625 = 15504^2 + 3025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 249524641 - 2⁹ = 249524129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249524641.

It is not an unprimeable number, because it can be changed into a prime (249524621) 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 7 ways as a sum of consecutive naturals, for example, 21151 + ... + 30763.

It is an arithmetic number, because the mean of its divisors is an integer number (31625253).

Almost surely, 2^249524641 is an apocalyptic number.

It is an amenable number.

249524641 is a deficient number, since it is larger than the sum of its proper divisors (3477383).

249524641 is a wasteful number, since it uses less digits than its factorization.

249524641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971.

The product of its digits is 69120, while the sum is 37.

The square root of 249524641 is about 15796.3489768997. The cubic root of 249524641 is about 629.5609950733.

The spelling of 249524641 in words is "two hundred forty-nine million, five hundred twenty-four thousand, six hundred forty-one".