249105563 has 12 divisors (see below), whose sum is σ = 299769840. Its totient is φ = 206155152.

The previous prime is 249105541. The next prime is 249105569. The reversal of 249105563 is 365501942.

It is not a de Polignac number, because 249105563 - 2²⁰ = 248056987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249105569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86231 + ... + 89072.

It is an arithmetic number, because the mean of its divisors is an integer number (24980820).

Almost surely, 2^249105563 is an apocalyptic number.

249105563 is a deficient number, since it is larger than the sum of its proper divisors (50664277).

249105563 is a wasteful number, since it uses less digits than its factorization.

249105563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175346 (or 175339 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 249105563 is about 15783.0783752727. The cubic root of 249105563 is about 629.2083471961.

The spelling of 249105563 in words is "two hundred forty-nine million, one hundred five thousand, five hundred sixty-three".