86259102601 has 9 divisors (see below), whose sum is σ = 100344612999. Its totient is φ = 73934611464.

The previous prime is 86259102557. The next prime is 86259102617. The reversal of 86259102601 is 10620195268.

The square root of 86259102601 is 293699.

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

It can be written as a sum of positive squares in only one way, i.e., 47104191225 + 39154911376 = 217035^2 + 197876^2 .

It is not a de Polignac number, because 86259102601 - 2²³ = 86250713993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86259102661) 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, 2034915 + ... + 2076871.

Almost surely, 2^86259102601 is an apocalyptic number.

86259102601 is the 293699-th square number.

86259102601 is the 146850-th centered octagonal number.

It is an amenable number.

86259102601 is a deficient number, since it is larger than the sum of its proper divisors (14085510398).

86259102601 is an frugal number, since it uses more digits than its factorization.

86259102601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83928 (or 41964 counting only the distinct ones).

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

Adding to 86259102601 its reverse (10620195268), we get a palindrome (96879297869).

The spelling of 86259102601 in words is "eighty-six billion, two hundred fifty-nine million, one hundred two thousand, six hundred one".