164827210635025 has 9 divisors (see below), whose sum is σ = 204385820786193. Its totient is φ = 131861717154000.

The previous prime is 164827210635019. The next prime is 164827210635029. The reversal of 164827210635025 is 520536012728461.

The square root of 164827210635025 is 12838505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24346497403089 + 140480713231936 = 4934217^2 + 11852456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-164827210635025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164827210635029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62908675 + ... + 65476375.

Almost surely, 2^{164827210635025} is an apocalyptic number.

164827210635025 is the 12838505-th square number.

164827210635025 is the 6419253-rd centered octagonal number.

It is an amenable number.

164827210635025 is a deficient number, since it is larger than the sum of its proper divisors (39558610151168).

164827210635025 is an frugal number, since it uses more digits than its factorization.

164827210635025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135412 (or 2567706 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 164827210635025 in words is "one hundred sixty-four trillion, eight hundred twenty-seven billion, two hundred ten million, six hundred thirty-five thousand, twenty-five".