71366451025 has 45 divisors (see below), whose sum is σ = 93441935473. Its totient is φ = 54070148000.

The previous prime is 71366451007. The next prime is 71366451029. The reversal of 71366451025 is 52015466317.

The square root of 71366451025 is 267145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13177432849 + 58189018176 = 114793^2 + 241224^2 .

It is not a de Polignac number, because 71366451025 - 2¹⁷ = 71366319953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71366451029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 706598475 + ... + 706598575.

Almost surely, 2^71366451025 is an apocalyptic number.

71366451025 is the 267145-th square number.

71366451025 is the 133573-rd centered octagonal number.

It is an amenable number.

71366451025 is a deficient number, since it is larger than the sum of its proper divisors (22075484448).

71366451025 is an frugal number, since it uses more digits than its factorization.

71366451025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 71366451025 in words is "seventy-one billion, three hundred sixty-six million, four hundred fifty-one thousand, twenty-five".