71461341001 has 2 divisors, whose sum is σ = 71461341002. Its totient is φ = 71461341000.

The previous prime is 71461340999. The next prime is 71461341011. The reversal of 71461341001 is 10014316417.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68246337600 + 3215003401 = 261240^2 + 56701^2 .

It is a cyclic number.

It is not a de Polignac number, because 71461341001 - 2¹ = 71461340999 is a prime.

It is a super-2 number, since 2×71461341001² (a number of 23 digits) contains 22 as substring.

Together with 71461340999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (71461341011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35730670500 + 35730670501.

It is an arithmetic number, because the mean of its divisors is an integer number (35730670501).

Almost surely, 2^71461341001 is an apocalyptic number.

It is an amenable number.

71461341001 is a deficient number, since it is larger than the sum of its proper divisors (1).

71461341001 is an equidigital number, since it uses as much as digits as its factorization.

71461341001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 71461341001 its reverse (10014316417), we get a palindrome (81475657418).

The spelling of 71461341001 in words is "seventy-one billion, four hundred sixty-one million, three hundred forty-one thousand, one".