173501406225 has 81 divisors (see below), whose sum is σ = 361587820347. Its totient is φ = 79294934880.

The previous prime is 173501406203. The next prime is 173501406229. The reversal of 173501406225 is 522604105371.

The square root of 173501406225 is 416535.

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

173501406225 is a `hidden beast` number, since 1 + 73 + 501 + 4 + 0 + 62 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62460506241 + 111040899984 = 249921^2 + 333228^2 .

It is not a de Polignac number, because 173501406225 - 2⁵ = 173501406193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 173501406225.

It is not an unprimeable number, because it can be changed into a prime (173501406229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43734192 + ... + 43738158.

Almost surely, 2^173501406225 is an apocalyptic number.

173501406225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

173501406225 is the 416535-th square number.

173501406225 is the 208268-th centered octagonal number.

It is an amenable number.

173501406225 is an abundant number, since it is smaller than the sum of its proper divisors (188086414122).

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

173501406225 is an frugal number, since it uses more digits than its factorization.

173501406225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7964 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 173501406225 by its sum of digits (36), we get a square (6246050624100 = 2499210²).

The spelling of 173501406225 in words is "one hundred seventy-three billion, five hundred one million, four hundred six thousand, two hundred twenty-five".