249404355217 has 16 divisors (see below), whose sum is σ = 251873874000. Its totient is φ = 246946785280.

The previous prime is 249404355197. The next prime is 249404355269. The reversal of 249404355217 is 712553404942.

It is a Cunningham number, because it is equal to 499404²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 147714160896 + 101690194321 = 384336^2 + 318889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-249404355217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249404355617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86089113 + ... + 86092009.

It is an arithmetic number, because the mean of its divisors is an integer number (15742117125).

Almost surely, 2^249404355217 is an apocalyptic number.

It is an amenable number.

249404355217 is a deficient number, since it is larger than the sum of its proper divisors (2469518783).

249404355217 is a wasteful number, since it uses less digits than its factorization.

249404355217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 249404355217 in words is "two hundred forty-nine billion, four hundred four million, three hundred fifty-five thousand, two hundred seventeen".