71582781706125 has 16 divisors (see below), whose sum is σ = 119113748759616. Its totient is φ = 38177483576400.

The previous prime is 71582781706097. The next prime is 71582781706129. The reversal of 71582781706125 is 52160718728517.

It is not a de Polignac number, because 71582781706125 - 2⁷ = 71582781705997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71582781706129) 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, 95443708567 + ... + 95443709316.

It is an arithmetic number, because the mean of its divisors is an integer number (7444609297476).

Almost surely, 2^{71582781706125} is an apocalyptic number.

71582781706125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71582781706125 is a deficient number, since it is larger than the sum of its proper divisors (47530967053491).

71582781706125 is a wasteful number, since it uses less digits than its factorization.

71582781706125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190887417901 (or 190887417891 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 60.

The spelling of 71582781706125 in words is "seventy-one trillion, five hundred eighty-two billion, seven hundred eighty-one million, seven hundred six thousand, one hundred twenty-five".