86207232496225 has 27 divisors (see below), whose sum is σ = 110711906610123. Its totient is φ = 66586615549440.

The previous prime is 86207232496223. The next prime is 86207232496279. The reversal of 86207232496225 is 52269423270268.

The square root of 86207232496225 is 9284785.

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 7506630071329 + 78700602424896 = 2739823^2 + 8871336^2 .

It is not a de Polignac number, because 86207232496225 - 2¹ = 86207232496223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86207232496225.

It is not an unprimeable number, because it can be changed into a prime (86207232496223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1346261809 + ... + 1346325841.

Almost surely, 2^{86207232496225} is an apocalyptic number.

86207232496225 is the 9284785-th square number.

86207232496225 is the 4642393-rd centered octagonal number.

It is an amenable number.

86207232496225 is a deficient number, since it is larger than the sum of its proper divisors (24504674113898).

86207232496225 is an frugal number, since it uses more digits than its factorization.

86207232496225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128134 (or 64067 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 86207232496225 in words is "eighty-six trillion, two hundred seven billion, two hundred thirty-two million, four hundred ninety-six thousand, two hundred twenty-five".