71131404482775 has 288 divisors, whose sum is σ = 164144174100480. Its totient is φ = 29934035792640.

The previous prime is 71131404482701. The next prime is 71131404482777. The reversal of 71131404482775 is 57728440413117.

71131404482775 is a `hidden beast` number, since 7 + 1 + 13 + 140 + 4 + 482 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 71131404482775 - 2¹³ = 71131404474583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71131404482777) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157575442 + ... + 158026208.

It is an arithmetic number, because the mean of its divisors is an integer number (569945048960).

Almost surely, 2^{71131404482775} is an apocalyptic number.

71131404482775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71131404482775 is an abundant number, since it is smaller than the sum of its proper divisors (93012769617705).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71131404482775 is a wasteful number, since it uses less digits than its factorization.

71131404482775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451180 (or 451162 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 71131404482775 in words is "seventy-one trillion, one hundred thirty-one billion, four hundred four million, four hundred eighty-two thousand, seven hundred seventy-five".