71958599001 has 9 divisors (see below), whose sum is σ = 103941360991. Its totient is φ = 47971862832.

The previous prime is 71958598979. The next prime is 71958599017. The reversal of 71958599001 is 10099585917.

The square root of 71958599001 is 268251.

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

It can be written as a sum of positive squares in only one way, i.e., 71907104025 + 51494976 = 268155^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71958599001 - 2²³ = 71950210393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71958599201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 760045 + ... + 849461.

Almost surely, 2^71958599001 is an apocalyptic number.

71958599001 is the 268251-st square number.

71958599001 is the 134126-th centered octagonal number.

It is an amenable number.

71958599001 is a deficient number, since it is larger than the sum of its proper divisors (31982761990).

71958599001 is an frugal number, since it uses more digits than its factorization.

71958599001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178840 (or 89420 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 54.

The spelling of 71958599001 in words is "seventy-one billion, nine hundred fifty-eight million, five hundred ninety-nine thousand, one".