2564325025201 has 9 divisors (see below), whose sum is σ = 2655847260651. Its totient is φ = 2475855186504.

The previous prime is 2564325025181. The next prime is 2564325025217. The reversal of 2564325025201 is 1025205234652.

The square root of 2564325025201 is 1601351.

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

2564325025201 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 only one way, i.e., 1344669840801 + 1219655184400 = 1159599^2 + 1104380^2 .

It is not a de Polignac number, because 2564325025201 - 2³⁹ = 2014569211313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564325025001) 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, 46411570 + ... + 46466788.

Almost surely, 2^{2564325025201} is an apocalyptic number.

2564325025201 is the 1601351-st square number.

2564325025201 is the 800676-th centered octagonal number.

It is an amenable number.

2564325025201 is a deficient number, since it is larger than the sum of its proper divisors (91522235450).

2564325025201 is an frugal number, since it uses more digits than its factorization.

2564325025201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110496 (or 55248 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 2564325025201 in words is "two trillion, five hundred sixty-four billion, three hundred twenty-five million, twenty-five thousand, two hundred one".