20083618175625 has 45 divisors (see below), whose sum is σ = 36251091186739. Its totient is φ = 10711083768000.

The previous prime is 20083618175623. The next prime is 20083618175639. The reversal of 20083618175625 is 52657181638002.

The square root of 20083618175625 is 4481475.

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

20083618175625 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 3 + 6 + 1 + 8 + 1 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12803593960521 + 7280024215104 = 3578211^2 + 2698152^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 20083618175625 - 2¹ = 20083618175623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20083618175623) 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 44 ways as a sum of consecutive naturals, for example, 336080749 + ... + 336140501.

Almost surely, 2^{20083618175625} is an apocalyptic number.

20083618175625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20083618175625 is the 4481475-th square number.

20083618175625 is the 2240738-th centered octagonal number.

It is an amenable number.

20083618175625 is a deficient number, since it is larger than the sum of its proper divisors (16167473011114).

20083618175625 is an frugal number, since it uses more digits than its factorization.

20083618175625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119532 (or 59761 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20083618175625 in words is "twenty trillion, eighty-three billion, six hundred eighteen million, one hundred seventy-five thousand, six hundred twenty-five".