622355321025 has 135 divisors (see below), whose sum is σ = 1181033374521. Its totient is φ = 323989709760.

The previous prime is 622355321011. The next prime is 622355321033. The reversal of 622355321025 is 520123553226.

The square root of 622355321025 is 788895.

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

622355321025 is a `hidden beast` number, since 62 + 2 + 3 + 553 + 21 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5992153281 + 616363167744 = 77409^2 + 785088^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 622355321025 - 2⁷ = 622355320897 is a prime.

It is a super-2 number, since 2×622355321025² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1668512739 + ... + 1668513111.

Almost surely, 2^622355321025 is an apocalyptic number.

622355321025 is the 788895-th square number.

622355321025 is the 394448-th centered octagonal number.

It is an amenable number.

622355321025 is a deficient number, since it is larger than the sum of its proper divisors (558678053496).

622355321025 is an frugal number, since it uses more digits than its factorization.

622355321025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 622355321025 by its sum of digits (36), we get a square (22404791556900 = 4733370²).

The spelling of 622355321025 in words is "six hundred twenty-two billion, three hundred fifty-five million, three hundred twenty-one thousand, twenty-five".