82172561025261 has 16 divisors (see below), whose sum is σ = 125850941910144. Its totient is φ = 46717395098304.

The previous prime is 82172561025227. The next prime is 82172561025277. The reversal of 82172561025261 is 16252016527128.

It is not a de Polignac number, because 82172561025261 - 2¹⁵ = 82172560992493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82172561025261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82172561025161) 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, 9931414890 + ... + 9931423163.

It is an arithmetic number, because the mean of its divisors is an integer number (7865683869384).

Almost surely, 2^{82172561025261} is an apocalyptic number.

It is an amenable number.

82172561025261 is a deficient number, since it is larger than the sum of its proper divisors (43678380884883).

82172561025261 is a wasteful number, since it uses less digits than its factorization.

82172561025261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862838260.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 82172561025261 in words is "eighty-two trillion, one hundred seventy-two billion, five hundred sixty-one million, twenty-five thousand, two hundred sixty-one".