1629333225 has 189 divisors, whose sum is σ = 3428925717. Its totient is φ = 767257920.

The previous prime is 1629333217. The next prime is 1629333229. The reversal of 1629333225 is 5223339261.

The square root of 1629333225 is 40365.

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

1629333225 is a `hidden beast` number, since 1 + 629 + 3 + 3 + 3 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419963049 + 1209370176 = 20493^2 + 34776^2 .

It is not a de Polignac number, because 1629333225 - 2³ = 1629333217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1629333225.

It is not an unprimeable number, because it can be changed into a prime (1629333229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 70840564 + ... + 70840586.

Almost surely, 2^1629333225 is an apocalyptic number.

1629333225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1629333225 is the 40365-th square number.

1629333225 is the 20183-rd centered octagonal number.

It is an amenable number.

1629333225 is an abundant number, since it is smaller than the sum of its proper divisors (1799592492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1629333225 is an equidigital number, since it uses as much as digits as its factorization.

1629333225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The cubic root of 1629333225 is about 1176.7114278712.

Multiplying 1629333225 by its sum of digits (36), we get a square (58655996100 = 242190²).

The spelling of 1629333225 in words is "one billion, six hundred twenty-nine million, three hundred thirty-three thousand, two hundred twenty-five".