164523528225 has 81 divisors (see below), whose sum is σ = 342879686643. Its totient is φ = 75191286240.

The previous prime is 164523528199. The next prime is 164523528227. The reversal of 164523528225 is 522825325461.

The square root of 164523528225 is 405615.

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., 59228470161 + 105295058064 = 243369^2 + 324492^2 .

It is not a de Polignac number, because 164523528225 - 2¹³ = 164523520033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164523528227) 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 80 ways as a sum of consecutive naturals, for example, 42587644 + ... + 42591506.

Almost surely, 2^164523528225 is an apocalyptic number.

164523528225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164523528225 is the 405615-th square number.

164523528225 is the 202808-th centered octagonal number.

It is an amenable number.

164523528225 is an abundant number, since it is smaller than the sum of its proper divisors (178356158418).

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

164523528225 is an frugal number, since it uses more digits than its factorization.

164523528225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 3878 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 164523528225 in words is "one hundred sixty-four billion, five hundred twenty-three million, five hundred twenty-eight thousand, two hundred twenty-five".