1633550166225 has 36 divisors (see below), whose sum is σ = 2926157067756. Its totient is φ = 871141232640.

The previous prime is 1633550166179. The next prime is 1633550166247. The reversal of 1633550166225 is 5226610553361.

1633550166225 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 5 + 5 + 0 + 16 + 622 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35227160721 + 1598323005504 = 187689^2 + 1264248^2 .

It is not a de Polignac number, because 1633550166225 - 2⁸ = 1633550165969 is a prime.

It is a super-2 number, since 2×1633550166225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1974649 + ... + 2677001.

It is an arithmetic number, because the mean of its divisors is an integer number (81282140771).

Almost surely, 2^{1633550166225} is an apocalyptic number.

1633550166225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1633550166225 is a deficient number, since it is larger than the sum of its proper divisors (1292606901531).

1633550166225 is a wasteful number, since it uses less digits than its factorization.

1633550166225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712706 (or 712698 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1633550166225 in words is "one trillion, six hundred thirty-three billion, five hundred fifty million, one hundred sixty-six thousand, two hundred twenty-five".