30757092129 has 27 divisors (see below), whose sum is σ = 45322060147. Its totient is φ = 20099607216.

The previous prime is 30757092127. The next prime is 30757092131. The reversal of 30757092129 is 92129075703.

The square root of 30757092129 is 175377.

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

30757092129 is a `hidden beast` number, since 30 + 7 + 570 + 9 + 21 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (30757092127) and next prime (30757092131).

It can be written as a sum of positive squares in only one way, i.e., 22172699025 + 8584393104 = 148905^2 + 92652^2 .

It is not a de Polignac number, because 30757092129 - 2¹ = 30757092127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30757092127) 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, 27884392 + ... + 27885494.

Almost surely, 2^30757092129 is an apocalyptic number.

30757092129 is the 175377-th square number.

30757092129 is the 87689-th centered octagonal number.

It is an amenable number.

30757092129 is a deficient number, since it is larger than the sum of its proper divisors (14564968018).

30757092129 is an frugal number, since it uses more digits than its factorization.

30757092129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 30757092129 in words is "thirty billion, seven hundred fifty-seven million, ninety-two thousand, one hundred twenty-nine".