30735349225 has 27 divisors (see below), whose sum is σ = 44343025797. Its totient is φ = 21071460480.

The previous prime is 30735349219. The next prime is 30735349261. The reversal of 30735349225 is 52294353703.

The square root of 30735349225 is 175315.

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 879656281 + 29855692944 = 29659^2 + 172788^2 .

It is not a de Polignac number, because 30735349225 - 2⁷ = 30735349097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6133521 + ... + 6138529.

Almost surely, 2^30735349225 is an apocalyptic number.

30735349225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30735349225 is the 175315-th square number.

30735349225 is the 87658-th centered octagonal number.

It is an amenable number.

30735349225 is a deficient number, since it is larger than the sum of its proper divisors (13607676572).

30735349225 is an frugal number, since it uses more digits than its factorization.

30735349225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 30735349225 in words is "thirty billion, seven hundred thirty-five million, three hundred forty-nine thousand, two hundred twenty-five".