173506404681 has 27 divisors (see below), whose sum is σ = 256663773639. Its totient is φ = 112945925232.

The previous prime is 173506404653. The next prime is 173506404737. The reversal of 173506404681 is 186404605371.

The square root of 173506404681 is 416541.

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

It can be written as a sum of positive squares in only one way, i.e., 52193514681 + 121312890000 = 228459^2 + 348300^2 .

It is not a de Polignac number, because 173506404681 - 2¹⁷ = 173506273609 is a prime.

It is a super-2 number, since 2×173506404681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (173506400681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53732175 + ... + 53735403.

Almost surely, 2^173506404681 is an apocalyptic number.

173506404681 is the 416541-st square number.

173506404681 is the 208271-st centered octagonal number.

It is an amenable number.

173506404681 is a deficient number, since it is larger than the sum of its proper divisors (83157368958).

173506404681 is an frugal number, since it uses more digits than its factorization.

173506404681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 173506404681 in words is "one hundred seventy-three billion, five hundred six million, four hundred four thousand, six hundred eighty-one".