810174609409 has 27 divisors (see below), whose sum is σ = 910395840963. Its totient is φ = 720437638800.

The previous prime is 810174609379. The next prime is 810174609427. The reversal of 810174609409 is 904906471018.

The square root of 810174609409 is 900097.

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., 930433009 + 809244176400 = 30503^2 + 899580^2 .

It is not a de Polignac number, because 810174609409 - 2¹⁵ = 810174576641 is a prime.

It is a super-2 number, since 2×810174609409² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (810174609469) 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 26 ways as a sum of consecutive naturals, for example, 465349279 + ... + 465351019.

Almost surely, 2^810174609409 is an apocalyptic number.

810174609409 is the 900097-th square number.

810174609409 is the 450049-th centered octagonal number.

It is an amenable number.

810174609409 is a deficient number, since it is larger than the sum of its proper divisors (100221231554).

810174609409 is an frugal number, since it uses more digits than its factorization.

810174609409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 810174609409 by its sum of digits (49), we get a square (39698555861041 = 6300679²).

The spelling of 810174609409 in words is "eight hundred ten billion, one hundred seventy-four million, six hundred nine thousand, four hundred nine".