85061472409 has 27 divisors (see below), whose sum is σ = 89892176023. Its totient is φ = 80486895104.

The previous prime is 85061472383. The next prime is 85061472413. The reversal of 85061472409 is 90427416058.

The square root of 85061472409 is 291653.

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 82503945225 + 2557527184 = 287235^2 + 50572^2 .

It is not a de Polignac number, because 85061472409 - 2¹³ = 85061464217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85061472449) 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, 752756337 + ... + 752756449.

Almost surely, 2^85061472409 is an apocalyptic number.

85061472409 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

85061472409 is the 291653-rd square number.

85061472409 is the 145827-th centered octagonal number.

It is an amenable number.

85061472409 is a deficient number, since it is larger than the sum of its proper divisors (4830703614).

85061472409 is an frugal number, since it uses more digits than its factorization.

85061472409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 85061472409 in words is "eighty-five billion, sixty-one million, four hundred seventy-two thousand, four hundred nine".