5325936224401 has 27 divisors (see below), whose sum is σ = 5822332443057. Its totient is φ = 4869640513920.

The previous prime is 5325936224339. The next prime is 5325936224437. The reversal of 5325936224401 is 1044226395235.

It is a happy number.

The square root of 5325936224401 is 2307799.

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 3974436972801 + 1351499251600 = 1993599^2 + 1162540^2 .

It is not a de Polignac number, because 5325936224401 - 2¹⁵ = 5325936191633 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5325936221401) 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, 3390155946 + ... + 3390157516.

Almost surely, 2^{5325936224401} is an apocalyptic number.

5325936224401 is the 2307799-th square number.

5325936224401 is the 1153900-th centered octagonal number.

It is an amenable number.

5325936224401 is a deficient number, since it is larger than the sum of its proper divisors (496396218656).

5325936224401 is an frugal number, since it uses more digits than its factorization.

5325936224401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 5325936224401 in words is "five trillion, three hundred twenty-five billion, nine hundred thirty-six million, two hundred twenty-four thousand, four hundred one".