19305713025 has 81 divisors (see below), whose sum is σ = 35400159561. Its totient is φ = 10057394880.

The previous prime is 19305713023. The next prime is 19305713029. The reversal of 19305713025 is 52031750391.

The square root of 19305713025 is 138945.

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

19305713025 is a `hidden beast` number, since 1 + 9 + 30 + 571 + 30 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2334919041 + 16970793984 = 48321^2 + 130272^2 .

It is not a de Polignac number, because 19305713025 - 2¹ = 19305713023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19305713023) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 122966247 + ... + 122966403.

Almost surely, 2^19305713025 is an apocalyptic number.

19305713025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19305713025 is the 138945-th square number.

19305713025 is the 69473-rd centered octagonal number.

It is an amenable number.

19305713025 is a deficient number, since it is larger than the sum of its proper divisors (16094446536).

19305713025 is an equidigital number, since it uses as much as digits as its factorization.

19305713025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

Multiplying 19305713025 by its sum of digits (36), we get a square (695005668900 = 833670²).

The spelling of 19305713025 in words is "nineteen billion, three hundred five million, seven hundred thirteen thousand, twenty-five".