173503072369 has 27 divisors (see below), whose sum is σ = 201376680939. Its totient is φ = 149353506720.

The previous prime is 173503072349. The next prime is 173503072381. The reversal of 173503072369 is 963270305371.

The square root of 173503072369 is 416537.

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., 126981759025 + 46521313344 = 356345^2 + 215688^2 .

It is not a de Polignac number, because 173503072369 - 2¹³ = 173503064177 is a prime.

It is a super-2 number, since 2×173503072369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (173503072339) by changing a digit.

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, 87055237 + ... + 87057229.

Almost surely, 2^173503072369 is an apocalyptic number.

173503072369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

173503072369 is the 416537-th square number.

173503072369 is the 208269-th centered octagonal number.

It is an amenable number.

173503072369 is a deficient number, since it is larger than the sum of its proper divisors (27873608570).

173503072369 is an frugal number, since it uses more digits than its factorization.

173503072369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 46.

The spelling of 173503072369 in words is "one hundred seventy-three billion, five hundred three million, seventy-two thousand, three hundred sixty-nine".