85432859521 has 9 divisors (see below), whose sum is σ = 87579695433. Its totient is φ = 83337439680.

The previous prime is 85432859507. The next prime is 85432859543. The reversal of 85432859521 is 12595823458.

The square root of 85432859521 is 292289.

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 14825741121 + 70607118400 = 121761^2 + 265720^2 .

It is not a de Polignac number, because 85432859521 - 2¹¹ = 85432857473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85432859581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11980285 + ... + 11987413.

Almost surely, 2^85432859521 is an apocalyptic number.

85432859521 is the 292289-th square number.

85432859521 is the 146145-th centered octagonal number.

It is an amenable number.

85432859521 is a deficient number, since it is larger than the sum of its proper divisors (2146835912).

85432859521 is an frugal number, since it uses more digits than its factorization.

85432859521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14340 (or 7170 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 52.

The spelling of 85432859521 in words is "eighty-five billion, four hundred thirty-two million, eight hundred fifty-nine thousand, five hundred twenty-one".