71681665106125 has 32 divisors (see below), whose sum is σ = 90979958160000. Its totient is φ = 56370284819200.

The previous prime is 71681665106059. The next prime is 71681665106131. The reversal of 71681665106125 is 52160156618617.

It is a de Polignac number, because none of the positive numbers 2^k-71681665106125 is a prime.

It is a super-2 number, since 2×71681665106125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139122981 + ... + 139637269.

It is an arithmetic number, because the mean of its divisors is an integer number (2843123692500).

Almost surely, 2^{71681665106125} is an apocalyptic number.

It is an amenable number.

71681665106125 is a deficient number, since it is larger than the sum of its proper divisors (19298293053875).

71681665106125 is a wasteful number, since it uses less digits than its factorization.

71681665106125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533262 (or 533252 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 71681665106125 in words is "seventy-one trillion, six hundred eighty-one billion, six hundred sixty-five million, one hundred six thousand, one hundred twenty-five".