29132003761 has 27 divisors (see below), whose sum is σ = 34881833259. Its totient is φ = 24258549168.

The previous prime is 29132003723. The next prime is 29132003773. The reversal of 29132003761 is 16730023192.

The square root of 29132003761 is 170681.

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., 26067717025 + 3064286736 = 161455^2 + 55356^2 .

It is not a de Polignac number, because 29132003761 - 2¹¹ = 29132001713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29132000761) 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, 44206050 + ... + 44206708.

Almost surely, 2^29132003761 is an apocalyptic number.

29132003761 is the 170681-st square number.

29132003761 is the 85341-st centered octagonal number.

It is an amenable number.

29132003761 is a deficient number, since it is larger than the sum of its proper divisors (5749829498).

29132003761 is an frugal number, since it uses more digits than its factorization.

29132003761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 29132003761 in words is "twenty-nine billion, one hundred thirty-two million, three thousand, seven hundred sixty-one".