30109537441 has 9 divisors (see below), whose sum is σ = 30540495321. Its totient is φ = 29684584512.

The previous prime is 30109537439. The next prime is 30109537457. The reversal of 30109537441 is 14473590103.

The square root of 30109537441 is 173521.

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 41977441 + 30067560000 = 6479^2 + 173400^2 .

It is not a de Polignac number, because 30109537441 - 2¹ = 30109537439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30109537441.

It is not an unprimeable number, because it can be changed into a prime (30109537541) 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, 12665845 + ... + 12668221.

It is an arithmetic number, because the mean of its divisors is an integer number (3393388369).

Almost surely, 2^30109537441 is an apocalyptic number.

30109537441 is the 173521-st square number.

30109537441 is the 86761-st centered octagonal number.

It is an amenable number.

30109537441 is a deficient number, since it is larger than the sum of its proper divisors (430957880).

30109537441 is an frugal number, since it uses more digits than its factorization.

30109537441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 30109537441 in words is "thirty billion, one hundred nine million, five hundred thirty-seven thousand, four hundred forty-one".