4131532729 has 27 divisors (see below), whose sum is σ = 4655403567. Its totient is φ = 3665331648.

The previous prime is 4131532709. The next prime is 4131532787. The reversal of 4131532729 is 9272351314.

The square root of 4131532729 is 64277.

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

It can be written as a sum of positive squares in only one way, i.e., 3216591225 + 914941504 = 56715^2 + 30248^2 .

It is not a de Polignac number, because 4131532729 - 2¹⁵ = 4131499961 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4131532709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20761372 + ... + 20761570.

Almost surely, 2^4131532729 is an apocalyptic number.

4131532729 is the 64277-th square number.

4131532729 is the 32139-th centered octagonal number.

It is an amenable number.

4131532729 is a deficient number, since it is larger than the sum of its proper divisors (523870838).

4131532729 is an equidigital number, since it uses as much as digits as its factorization.

4131532729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The cubic root of 4131532729 is about 1604.6133428049.

The spelling of 4131532729 in words is "four billion, one hundred thirty-one million, five hundred thirty-two thousand, seven hundred twenty-nine".