180357349225 has 27 divisors (see below), whose sum is σ = 225493471791. Its totient is φ = 143101857600.

The previous prime is 180357349199. The next prime is 180357349253. The reversal of 180357349225 is 522943753081.

The square root of 180357349225 is 424685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 161775297369 + 18582051856 = 402213^2 + 136316^2 .

It is not a de Polignac number, because 180357349225 - 2¹⁵ = 180357316457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 333377455 + ... + 333377995.

Almost surely, 2^180357349225 is an apocalyptic number.

180357349225 is the 424685-th square number.

180357349225 is the 212343-rd centered octagonal number.

It is an amenable number.

180357349225 is a deficient number, since it is larger than the sum of its proper divisors (45136122566).

180357349225 is an frugal number, since it uses more digits than its factorization.

180357349225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 180357349225 by its sum of digits (49), we get a square (8837510112025 = 2972795²).

The spelling of 180357349225 in words is "one hundred eighty billion, three hundred fifty-seven million, three hundred forty-nine thousand, two hundred twenty-five".