162258503753329 has 9 divisors (see below), whose sum is σ = 165378436851649. Its totient is φ = 159196360170640.

The previous prime is 162258503753243. The next prime is 162258503753341. The reversal of 162258503753329 is 923357305852261.

The square root of 162258503753329 is 12738073.

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 9190932039025 + 153067571714304 = 3031655^2 + 12372048^2 .

It is not a de Polignac number, because 162258503753329 - 2²⁷ = 162258369535601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162258503753369) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 674997699 + ... + 675238039.

Almost surely, 2^{162258503753329} is an apocalyptic number.

162258503753329 is the 12738073-rd square number.

162258503753329 is the 6369037-th centered octagonal number.

It is an amenable number.

162258503753329 is a deficient number, since it is larger than the sum of its proper divisors (3119933098320).

162258503753329 is an frugal number, since it uses more digits than its factorization.

162258503753329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480788 (or 240394 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 61.

The spelling of 162258503753329 in words is "one hundred sixty-two trillion, two hundred fifty-eight billion, five hundred three million, seven hundred fifty-three thousand, three hundred twenty-nine".