29504589361 has 27 divisors (see below), whose sum is σ = 32572358307. Its totient is φ = 26713514880.

The previous prime is 29504589353. The next prime is 29504589383. The reversal of 29504589361 is 16398540592.

The square root of 29504589361 is 171769.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28129662961 + 1374926400 = 167719^2 + 37080^2 .

It is not a de Polignac number, because 29504589361 - 2³ = 29504589353 is a prime.

It is a super-2 number, since 2×29504589361² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29504589299 and 29504589308.

It is not an unprimeable number, because it can be changed into a prime (29504589341) 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 26 ways as a sum of consecutive naturals, for example, 163008691 + ... + 163008871.

It is an arithmetic number, because the mean of its divisors is an integer number (1206383641).

Almost surely, 2^29504589361 is an apocalyptic number.

29504589361 is the 171769-th square number.

29504589361 is the 85885-th centered octagonal number.

It is an amenable number.

29504589361 is a deficient number, since it is larger than the sum of its proper divisors (3067768946).

29504589361 is an frugal number, since it uses more digits than its factorization.

29504589361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 29504589361 in words is "twenty-nine billion, five hundred four million, five hundred eighty-nine thousand, three hundred sixty-one".