86135793121 has 9 divisors (see below), whose sum is σ = 100201169649. Its totient is φ = 73828918884.

The previous prime is 86135793077. The next prime is 86135793173. The reversal of 86135793121 is 12139753168.

It is a happy number.

The square root of 86135793121 is 293489.

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

It is not a de Polignac number, because 86135793121 - 2¹⁹ = 86135268833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86135791121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2033460 + ... + 2075386.

Almost surely, 2^86135793121 is an apocalyptic number.

86135793121 is the 293489-th square number.

86135793121 is the 146745-th centered octagonal number.

It is an amenable number.

86135793121 is a deficient number, since it is larger than the sum of its proper divisors (14065376528).

86135793121 is an frugal number, since it uses more digits than its factorization.

86135793121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83868 (or 41934 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The spelling of 86135793121 in words is "eighty-six billion, one hundred thirty-five million, seven hundred ninety-three thousand, one hundred twenty-one".