20287592430625 has 45 divisors (see below), whose sum is σ = 27453470360943. Its totient is φ = 14980525716000.

The previous prime is 20287592430587. The next prime is 20287592430653. The reversal of 20287592430625 is 52603429578202.

The square root of 20287592430625 is 4504175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 20038667272849 + 248925157776 = 4476457^2 + 498924^2 .

It is not a de Polignac number, because 20287592430625 - 2⁹ = 20287592430113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1463849946 + ... + 1463863804.

Almost surely, 2^{20287592430625} is an apocalyptic number.

20287592430625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20287592430625 is the 4504175-th square number.

20287592430625 is the 2252088-th centered octagonal number.

It is an amenable number.

20287592430625 is a deficient number, since it is larger than the sum of its proper divisors (7165877930318).

20287592430625 is an frugal number, since it uses more digits than its factorization.

20287592430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27764 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 20287592430625 in words is "twenty trillion, two hundred eighty-seven billion, five hundred ninety-two million, four hundred thirty thousand, six hundred twenty-five".