71528967601 has 27 divisors (see below), whose sum is σ = 90130734891. Its totient is φ = 56575091664.

The previous prime is 71528967547. The next prime is 71528967607. The reversal of 71528967601 is 10676982517.

The square root of 71528967601 is 267449.

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., 10581208225 + 60947759376 = 102865^2 + 246876^2 .

It is not a de Polignac number, because 71528967601 - 2⁹ = 71528967089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71528967607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24336390 + ... + 24339328.

Almost surely, 2^71528967601 is an apocalyptic number.

71528967601 is the 267449-th square number.

71528967601 is the 133725-th centered octagonal number.

It is an amenable number.

71528967601 is a deficient number, since it is larger than the sum of its proper divisors (18601767290).

71528967601 is an frugal number, since it uses more digits than its factorization.

71528967601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 71528967601 in words is "seventy-one billion, five hundred twenty-eight million, nine hundred sixty-seven thousand, six hundred one".