71126223025 has 81 divisors (see below), whose sum is σ = 105256269027. Its totient is φ = 47621059200.

The previous prime is 71126223011. The next prime is 71126223043. The reversal of 71126223025 is 52032262117.

The square root of 71126223025 is 266695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 65054073249 + 6072149776 = 255057^2 + 77924^2 .

It is not a de Polignac number, because 71126223025 - 2²¹ = 71124125873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 190686739 + ... + 190687111.

Almost surely, 2^71126223025 is an apocalyptic number.

71126223025 is the 266695-th square number.

71126223025 is the 133348-th centered octagonal number.

It is an amenable number.

71126223025 is a deficient number, since it is larger than the sum of its proper divisors (34130046002).

71126223025 is a wasteful number, since it uses less digits than its factorization.

71126223025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 71126223025 in words is "seventy-one billion, one hundred twenty-six million, two hundred twenty-three thousand, twenty-five".