171131220512 has 162 divisors, whose sum is σ = 406176756741. Its totient is φ = 70765470720.

The previous prime is 171131220467. The next prime is 171131220521. The reversal of 171131220512 is 215022131171.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 161510749456 + 9620471056 = 401884^2 + 98084^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=292516.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 507807608 + ... + 507807944.

Almost surely, 2^171131220512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171131220512

171131220512 is an abundant number, since it is smaller than the sum of its proper divisors (235045536229).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171131220512 is an frugal number, since it uses more digits than its factorization.

171131220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 171131220512 its reverse (215022131171), we get a palindrome (386153351683).

The spelling of 171131220512 in words is "one hundred seventy-one billion, one hundred thirty-one million, two hundred twenty thousand, five hundred twelve".