71205378495901 has 32 divisors (see below), whose sum is σ = 79391330172000. Its totient is φ = 63410066915328.

The previous prime is 71205378495847. The next prime is 71205378495943. The reversal of 71205378495901 is 10959487350217.

It can be written as a sum of positive squares in 16 ways, for example, as 9130676933401 + 62074701562500 = 3021701^2 + 7878750^2 .

It is a cyclic number.

It is not a de Polignac number, because 71205378495901 - 2¹⁷ = 71205378364829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71205378495901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71205378495401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5163919315 + ... + 5163933103.

It is an arithmetic number, because the mean of its divisors is an integer number (2480979067875).

Almost surely, 2^{71205378495901} is an apocalyptic number.

It is an amenable number.

71205378495901 is a deficient number, since it is larger than the sum of its proper divisors (8185951676099).

71205378495901 is a wasteful number, since it uses less digits than its factorization.

71205378495901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23953.

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 71205378495901 in words is "seventy-one trillion, two hundred five billion, three hundred seventy-eight million, four hundred ninety-five thousand, nine hundred one".