30756152747329 has 9 divisors (see below), whose sum is σ = 31286611754787. Its totient is φ = 30234540365064.

The previous prime is 30756152747263. The next prime is 30756152747389. The reversal of 30756152747329 is 92374725165703.

The square root of 30756152747329 is 5545823.

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., 30285485400625 + 470667346704 = 5503225^2 + 686052^2 .

It is not a de Polignac number, because 30756152747329 - 2¹⁵ = 30756152714561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30756152747389) 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, 327156559 + ... + 327250555.

Almost surely, 2^{30756152747329} is an apocalyptic number.

30756152747329 is the 5545823-rd square number.

30756152747329 is the 2772912-nd centered octagonal number.

It is an amenable number.

30756152747329 is a deficient number, since it is larger than the sum of its proper divisors (530459007458).

30756152747329 is an frugal number, since it uses more digits than its factorization.

30756152747329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188112 (or 94056 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 61.

The spelling of 30756152747329 in words is "thirty trillion, seven hundred fifty-six billion, one hundred fifty-two million, seven hundred forty-seven thousand, three hundred twenty-nine".