701320827601 has 9 divisors (see below), whose sum is σ = 702926532849. Its totient is φ = 699718787664.

The previous prime is 701320827583. The next prime is 701320827653. The reversal of 701320827601 is 106728023107.

The square root of 701320827601 is 837449.

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

701320827601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 481359827601 + 219961000000 = 693801^2 + 469000^2 .

It is not a de Polignac number, because 701320827601 - 2⁵ = 701320827569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (701320827001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 566952355 + ... + 566953591.

Almost surely, 2^701320827601 is an apocalyptic number.

701320827601 is the 837449-th square number.

701320827601 is the 418725-th centered octagonal number.

It is an amenable number.

701320827601 is a deficient number, since it is larger than the sum of its proper divisors (1605705248).

701320827601 is an frugal number, since it uses more digits than its factorization.

701320827601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 701320827601 in words is "seven hundred one billion, three hundred twenty million, eight hundred twenty-seven thousand, six hundred one".