29131505764321 has 9 divisors (see below), whose sum is σ = 29691819153241. Its totient is φ = 28581574049392.

The previous prime is 29131505764313. The next prime is 29131505764337. The reversal of 29131505764321 is 12346750513192.

The square root of 29131505764321 is 5397361.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3185114826721 + 25946390937600 = 1784689^2 + 5093760^2 .

It is not a de Polignac number, because 29131505764321 - 2³ = 29131505764313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29131500764321) 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, 286009215 + ... + 286111051.

Almost surely, 2^{29131505764321} is an apocalyptic number.

29131505764321 is the 5397361-st square number.

29131505764321 is the 2698681-st centered octagonal number.

It is an amenable number.

29131505764321 is a deficient number, since it is larger than the sum of its proper divisors (560313388920).

29131505764321 is an frugal number, since it uses more digits than its factorization.

29131505764321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203780 (or 101890 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 29131505764321 in words is "twenty-nine trillion, one hundred thirty-one billion, five hundred five million, seven hundred sixty-four thousand, three hundred twenty-one".