71065726142401 has 3 divisors (see below), whose sum is σ = 71065734572451. Its totient is φ = 71065717712352.

The previous prime is 71065726142387. The next prime is 71065726142497. The reversal of 71065726142401 is 10424162756017.

The square root of 71065726142401 is 8430049.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 16974408240001 + 54091317902400 = 4120001^2 + 7354680^2 .

It is not a de Polignac number, because 71065726142401 - 2⁹ = 71065726141889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71065726142701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4215025 + ... + 12645073.

It is an arithmetic number, because the mean of its divisors is an integer number (23688578190817).

Almost surely, 2^{71065726142401} is an apocalyptic number.

71065726142401 is the 8430049-th square number.

71065726142401 is the 4215025-th centered octagonal number.

It is an amenable number.

71065726142401 is a deficient number, since it is larger than the sum of its proper divisors (8430050).

71065726142401 is an frugal number, since it uses more digits than its factorization.

71065726142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16860098 (or 8430049 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

Adding to 71065726142401 its reverse (10424162756017), we get a palindrome (81489888898418).

The spelling of 71065726142401 in words is "seventy-one trillion, sixty-five billion, seven hundred twenty-six million, one hundred forty-two thousand, four hundred one".