85264584001 has 9 divisors (see below), whose sum is σ = 88314897801. Its totient is φ = 82316249904.

The previous prime is 85264583993. The next prime is 85264584007. The reversal of 85264584001 is 10048546258.

The square root of 85264584001 is 292001.

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 4563137601 + 80701446400 = 67551^2 + 284080^2 .

It is not a de Polignac number, because 85264584001 - 2³ = 85264583993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85264584007) 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 8 ways as a sum of consecutive naturals, for example, 8462995 + ... + 8473063.

Almost surely, 2^85264584001 is an apocalyptic number.

85264584001 is the 292001-st square number.

85264584001 is the 146001-st centered octagonal number.

It is an amenable number.

85264584001 is a deficient number, since it is larger than the sum of its proper divisors (3050313800).

85264584001 is an frugal number, since it uses more digits than its factorization.

85264584001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20196 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 85264584001 in words is "eighty-five billion, two hundred sixty-four million, five hundred eighty-four thousand, one".