86287285919025 has 27 divisors (see below), whose sum is σ = 154550366124609. Its totient is φ = 46019811510720.

The previous prime is 86287285918973. The next prime is 86287285919033. The reversal of 86287285919025 is 52091958278268.

The square root of 86287285919025 is 9289095.

It is a perfect power (a square), and thus also a powerful number.

86287285919025 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 7 + 2 + 8 + 591 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45301528270881 + 40985757648144 = 6730641^2 + 6402012^2 .

It is not a de Polignac number, because 86287285919025 - 2¹¹ = 86287285916977 is a prime.

It is a super-2 number, since 2×86287285919025² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 139026789 + ... + 139646061.

Almost surely, 2^{86287285919025} is an apocalyptic number.

86287285919025 is the 9289095-th square number.

86287285919025 is the 4644548-th centered octagonal number.

It is an amenable number.

86287285919025 is a deficient number, since it is larger than the sum of its proper divisors (68263080205584).

86287285919025 is an frugal number, since it uses more digits than its factorization.

86287285919025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238562 (or 619281 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 86287285919025 in words is "eighty-six trillion, two hundred eighty-seven billion, two hundred eighty-five million, nine hundred nineteen thousand, twenty-five".