5321321626401 has 99 divisors (see below), whose sum is σ = 8783712577297. Its totient is φ = 3221306395560.

The previous prime is 5321321626399. The next prime is 5321321626403. The reversal of 5321321626401 is 1046261231235.

The square root of 5321321626401 is 2306799.

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

5321321626401 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 3 + 2 + 1 + 6 + 2 + 640 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (5321321626399) and next prime (5321321626403).

It is a tau number, because it is divible by the number of its divisors (99).

It is not a de Polignac number, because 5321321626401 - 2¹ = 5321321626399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5321321626403) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 6166073296 + ... + 6166074158.

Almost surely, 2^{5321321626401} is an apocalyptic number.

5321321626401 is the 2306799-th square number.

5321321626401 is the 1153400-th centered octagonal number.

It is an amenable number.

5321321626401 is a deficient number, since it is larger than the sum of its proper divisors (3462390950896).

5321321626401 is an frugal number, since it uses more digits than its factorization.

5321321626401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 5321321626401 by its sum of digits (36), we get a square (191567578550436 = 13840794²).

Adding to 5321321626401 its reverse (1046261231235), we get a palindrome (6367582857636).

The spelling of 5321321626401 in words is "five trillion, three hundred twenty-one billion, three hundred twenty-one million, six hundred twenty-six thousand, four hundred one".