211623000625 has 15 divisors (see below), whose sum is σ = 264458473543. Its totient is φ = 169289200000.

The previous prime is 211623000623. The next prime is 211623000629. The reversal of 211623000625 is 526000326112.

The square root of 211623000625 is 460025.

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

211623000625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 171244509489 + 40378491136 = 413817^2 + 200944^2 .

It is not a de Polignac number, because 211623000625 - 2¹ = 211623000623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211623000593 and 211623000602.

It is not an unprimeable number, because it can be changed into a prime (211623000623) 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 14 ways as a sum of consecutive naturals, for example, 11491425 + ... + 11509825.

Almost surely, 2^211623000625 is an apocalyptic number.

211623000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211623000625 is the 460025-th square number.

211623000625 is the 230013-rd centered octagonal number.

It is an amenable number.

211623000625 is a deficient number, since it is larger than the sum of its proper divisors (52835472918).

211623000625 is an frugal number, since it uses more digits than its factorization.

211623000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36822 (or 18406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 211623000625 its reverse (526000326112), we get a palindrome (737623326737).

The spelling of 211623000625 in words is "two hundred eleven billion, six hundred twenty-three million, six hundred twenty-five", and thus it is an aban number.