32952051729 has 9 divisors (see below), whose sum is σ = 47598194683. Its totient is φ = 21967671432.

The previous prime is 32952051719. The next prime is 32952051731. The reversal of 32952051729 is 92715025923.

The square root of 32952051729 is 181527.

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

32952051729 is a `hidden beast` number, since 3 + 2 + 9 + 520 + 51 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31906176129 + 1045875600 = 178623^2 + 32340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 32952051729 - 2¹⁷ = 32951920657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32952051719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 514327 + ... + 574835.

Almost surely, 2^32952051729 is an apocalyptic number.

32952051729 is the 181527-th square number.

32952051729 is the 90764-th centered octagonal number.

It is an amenable number.

32952051729 is a deficient number, since it is larger than the sum of its proper divisors (14646142954).

32952051729 is an frugal number, since it uses more digits than its factorization.

32952051729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121024 (or 60512 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 32952051729 in words is "thirty-two billion, nine hundred fifty-two million, fifty-one thousand, seven hundred twenty-nine".