1632164625 has 192 divisors, whose sum is σ = 3679603200. Its totient is φ = 677721600.

The previous prime is 1632164593. The next prime is 1632164659. The reversal of 1632164625 is 5264612361.

1632164625 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 1 + 646 + 2 + 5 = 666.

It is not a de Polignac number, because 1632164625 - 2⁵ = 1632164593 is a prime.

It is a super-2 number, since 2×1632164625² = 5327922726202781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1632164625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10954051 + ... + 10954199.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^1632164625 is an apocalyptic number.

1632164625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1632164625 is an abundant number, since it is smaller than the sum of its proper divisors (2047438575).

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

1632164625 is a wasteful number, since it uses less digits than its factorization.

1632164625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1632164625 is about 40400.0572400585. The cubic root of 1632164625 is about 1177.3926498210.

Adding to 1632164625 its reverse (5264612361), we get a palindrome (6896776986).

The spelling of 1632164625 in words is "one billion, six hundred thirty-two million, one hundred sixty-four thousand, six hundred twenty-five".