171409248257 has 16 divisors (see below), whose sum is σ = 190984451280. Its totient is φ = 152748288000.

The previous prime is 171409248251. The next prime is 171409248287. The reversal of 171409248257 is 752842904171.

It is a happy number.

It is a Cunningham number, because it is equal to 414016²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1849774081 + 169559474176 = 43009^2 + 411776^2 .

It is a cyclic number.

It is not a de Polignac number, because 171409248257 - 2²⁰ = 171408199681 is a prime.

It is a super-2 number, since 2×171409248257² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171409248251) 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, 3459257 + ... + 3508457.

It is an arithmetic number, because the mean of its divisors is an integer number (11936528205).

Almost surely, 2^171409248257 is an apocalyptic number.

It is an amenable number.

171409248257 is a deficient number, since it is larger than the sum of its proper divisors (19575203023).

171409248257 is a wasteful number, since it uses less digits than its factorization.

171409248257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58484.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 171409248257 in words is "one hundred seventy-one billion, four hundred nine million, two hundred forty-eight thousand, two hundred fifty-seven".