1605133656 has 48 divisors (see below), whose sum is σ = 4968272400. Its totient is φ = 458609472.

The previous prime is 1605133619. The next prime is 1605133657. The reversal of 1605133656 is 6563315061.

1605133656 is a `hidden beast` number, since 1 + 60 + 513 + 36 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1605133656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605133657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1591891 + ... + 1592898.

It is an arithmetic number, because the mean of its divisors is an integer number (103505675).

Almost surely, 2^1605133656 is an apocalyptic number.

It is an amenable number.

1605133656 is an abundant number, since it is smaller than the sum of its proper divisors (3363138744).

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

1605133656 is a wasteful number, since it uses less digits than its factorization.

1605133656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184808 (or 3184801 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1605133656 is about 40064.1193089278. The cubic root of 1605133656 is about 1170.8566682375.

The spelling of 1605133656 in words is "one billion, six hundred five million, one hundred thirty-three thousand, six hundred fifty-six".