7333353225 has 135 divisors (see below), whose sum is σ = 15017874949. Its totient is φ = 3535012800.

The previous prime is 7333353191. The next prime is 7333353229. The reversal of 7333353225 is 5223533337.

The square root of 7333353225 is 85635.

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

7333353225 is a `hidden beast` number, since 73 + 3 + 33 + 532 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 807298569 + 6526054656 = 28413^2 + 80784^2 .

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

It is not a de Polignac number, because 7333353225 - 2²¹ = 7331256073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7333353225.

It is not an unprimeable number, because it can be changed into a prime (7333353229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 42389239 + ... + 42389411.

Almost surely, 2^7333353225 is an apocalyptic number.

7333353225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7333353225 is the 85635-th square number.

7333353225 is the 42818-th centered octagonal number.

It is an amenable number.

7333353225 is an abundant number, since it is smaller than the sum of its proper divisors (7684521724).

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

7333353225 is a wasteful number, since it uses less digits than its factorization.

7333353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 192 counting only the distinct ones).

The product of its digits is 170100, while the sum is 36.

The cubic root of 7333353225 is about 1942.8273177203.

Multiplying 7333353225 by its sum of digits (36), we get a square (264000716100 = 513810²).

The spelling of 7333353225 in words is "seven billion, three hundred thirty-three million, three hundred fifty-three thousand, two hundred twenty-five".