86016091225 has 9 divisors (see below), whose sum is σ = 106661771517. Its totient is φ = 68811699840.

The previous prime is 86016091181. The next prime is 86016091229. The reversal of 86016091225 is 52219061068.

The square root of 86016091225 is 293285.

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 15937295049 + 70078796176 = 126243^2 + 264724^2 .

It is not a de Polignac number, because 86016091225 - 2⁷ = 86016091097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86016091229) 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, 1437097 + ... + 1495753.

Almost surely, 2^86016091225 is an apocalyptic number.

86016091225 is the 293285-th square number.

86016091225 is the 146643-rd centered octagonal number.

It is an amenable number.

86016091225 is a deficient number, since it is larger than the sum of its proper divisors (20645680292).

86016091225 is an frugal number, since it uses more digits than its factorization.

86016091225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117324 (or 58662 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 86016091225 in words is "eighty-six billion, sixteen million, ninety-one thousand, two hundred twenty-five".