249506340217 has 6 divisors (see below), whose sum is σ = 263329406538. Its totient is φ = 236374427232.

The previous prime is 249506340203. The next prime is 249506340221. The reversal of 249506340217 is 712043605942.

It can be written as a sum of positive squares in only one way, i.e., 248732610361 + 773729856 = 498731^2 + 27816^2 .

It is not a de Polignac number, because 249506340217 - 2²³ = 249497951609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249506340277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345576288 + ... + 345577009.

It is an arithmetic number, because the mean of its divisors is an integer number (43888234423).

Almost surely, 2^249506340217 is an apocalyptic number.

It is an amenable number.

249506340217 is a deficient number, since it is larger than the sum of its proper divisors (13823066321).

249506340217 is an equidigital number, since it uses as much as digits as its factorization.

249506340217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691153335 (or 691153316 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 249506340217 in words is "two hundred forty-nine billion, five hundred six million, three hundred forty thousand, two hundred seventeen".