1632964515625 has 21 divisors (see below), whose sum is σ = 2041379202043. Its totient is φ = 1306243825000.

The previous prime is 1632964515619. The next prime is 1632964515629. The reversal of 1632964515625 is 5265154692361.

The square root of 1632964515625 is 1277875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1430633680281 + 202330835344 = 1196091^2 + 449812^2 .

It is not a de Polignac number, because 1632964515625 - 2³ = 1632964515617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1632964515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 159729264 + ... + 159739486.

Almost surely, 2^{1632964515625} is an apocalyptic number.

1632964515625 is the 1277875-th square number.

1632964515625 is the 638938-th centered octagonal number.

It is an amenable number.

1632964515625 is a deficient number, since it is larger than the sum of its proper divisors (408414686418).

1632964515625 is an frugal number, since it uses more digits than its factorization.

1632964515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20476 (or 10228 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 1632964515625 in words is "one trillion, six hundred thirty-two billion, nine hundred sixty-four million, five hundred fifteen thousand, six hundred twenty-five".