32385961521 has 27 divisors (see below), whose sum is σ = 47165772459. Its totient is φ = 21413919312.

The previous prime is 32385961493. The next prime is 32385961523. The reversal of 32385961521 is 12516958323.

The square root of 32385961521 is 179961.

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

32385961521 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 5 + 9 + 615 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2130837921 + 30255123600 = 46161^2 + 173940^2 .

It is not a de Polignac number, because 32385961521 - 2⁷ = 32385961393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32385961523) 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 26 ways as a sum of consecutive naturals, for example, 120393775 + ... + 120394043.

Almost surely, 2^32385961521 is an apocalyptic number.

32385961521 is the 179961-st square number.

32385961521 is the 89981-st centered octagonal number.

It is an amenable number.

32385961521 is a deficient number, since it is larger than the sum of its proper divisors (14779810938).

32385961521 is an frugal number, since it uses more digits than its factorization.

32385961521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 32385961521 in words is "thirty-two billion, three hundred eighty-five million, nine hundred sixty-one thousand, five hundred twenty-one".