30686280625 has 225 divisors, whose sum is σ = 53243533959. Its totient is φ = 17657640000.

The previous prime is 30686280613. The next prime is 30686280637. The reversal of 30686280625 is 52608268603.

The square root of 30686280625 is 175175.

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

It is an interprime number because it is at equal distance from previous prime (30686280613) and next prime (30686280637).

It can be written as a sum of positive squares in 7 ways, for example, as 30309765409 + 376515216 = 174097^2 + 19404^2 .

It is not a de Polignac number, because 30686280625 - 2²⁷ = 30552062897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2360483119 + ... + 2360483131.

Almost surely, 2^30686280625 is an apocalyptic number.

30686280625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30686280625 is the 175175-th square number.

30686280625 is the 87588-th centered octagonal number.

It is an amenable number.

30686280625 is a deficient number, since it is larger than the sum of its proper divisors (22557253334).

30686280625 is an frugal number, since it uses more digits than its factorization.

30686280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 30686280625 in words is "thirty billion, six hundred eighty-six million, two hundred eighty thousand, six hundred twenty-five".