71006041757 has 64 divisors (see below), whose sum is σ = 86704128000. Its totient is φ = 58079064960.

The previous prime is 71006041741. The next prime is 71006041759. The reversal of 71006041757 is 75714060017.

It is a happy number.

It is not a de Polignac number, because 71006041757 - 2⁴ = 71006041741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71006041757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71006041759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148237844 + ... + 148238322.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752000).

Almost surely, 2^71006041757 is an apocalyptic number.

It is an amenable number.

71006041757 is a deficient number, since it is larger than the sum of its proper divisors (15698086243).

71006041757 is a wasteful number, since it uses less digits than its factorization.

71006041757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 71006041757 in words is "seventy-one billion, six million, forty-one thousand, seven hundred fifty-seven".