82817262129 has 16 divisors (see below), whose sum is σ = 128882792448. Its totient is φ = 46317252432.

The previous prime is 82817262109. The next prime is 82817262133. The reversal of 82817262129 is 92126271828.

It is not a de Polignac number, because 82817262129 - 2¹⁶ = 82817196593 is a prime.

It is a super-2 number, since 2×82817262129² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82817262109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41953047 + ... + 41955020.

It is an arithmetic number, because the mean of its divisors is an integer number (8055174528).

Almost surely, 2^82817262129 is an apocalyptic number.

It is an amenable number.

82817262129 is a deficient number, since it is larger than the sum of its proper divisors (46065530319).

82817262129 is a wasteful number, since it uses less digits than its factorization.

82817262129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83908124.

The product of its digits is 387072, while the sum is 48.

The spelling of 82817262129 in words is "eighty-two billion, eight hundred seventeen million, two hundred sixty-two thousand, one hundred twenty-nine".