173257434727441 has 3 divisors (see below), whose sum is σ = 173257447890171. Its totient is φ = 173257421564712.

The previous prime is 173257434727367. The next prime is 173257434727451. The reversal of 173257434727441 is 144727434752371.

It is a happy number.

The square root of 173257434727441 is 13162729.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 26653770727441 + 146603664000000 = 5162729^2 + 12108000^2 .

It is not a de Polignac number, because 173257434727441 - 2¹¹ = 173257434725393 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 173257434727441.

It is not an unprimeable number, because it can be changed into a prime (173257434727451) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6581365 + ... + 19744093.

It is an arithmetic number, because the mean of its divisors is an integer number (57752482630057).

Almost surely, 2^{173257434727441} is an apocalyptic number.

173257434727441 is the 13162729-th square number.

173257434727441 is the 6581365-th centered octagonal number.

It is an amenable number.

173257434727441 is a deficient number, since it is larger than the sum of its proper divisors (13162730).

173257434727441 is an frugal number, since it uses more digits than its factorization.

173257434727441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26325458 (or 13162729 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 61.

The spelling of 173257434727441 in words is "one hundred seventy-three trillion, two hundred fifty-seven billion, four hundred thirty-four million, seven hundred twenty-seven thousand, four hundred forty-one".