1225306152 has 144 divisors (see below), whose sum is σ = 3933776340. Its totient is φ = 343429632.

The previous prime is 1225306141. The next prime is 1225306153. The reversal of 1225306152 is 2516035221.

It is a happy number.

1225306152 is a `hidden beast` number, since 1 + 22 + 530 + 61 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1224020196 + 1285956 = 34986^2 + 1134^2 .

It is a super-2 number, since 2×1225306152² = 3002750332258094208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225306153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183708 + ... + 190260.

Almost surely, 2^1225306152 is an apocalyptic number.

1225306152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225306152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966888170).

1225306152 is an abundant number, since it is smaller than the sum of its proper divisors (2708470188).

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

1225306152 is a wasteful number, since it uses less digits than its factorization.

1225306152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1225306152 is about 35004.3733267716. The cubic root of 1225306152 is about 1070.0766102308.

The spelling of 1225306152 in words is "one billion, two hundred twenty-five million, three hundred six thousand, one hundred fifty-two".