211321353125 has 48 divisors (see below), whose sum is σ = 267565530960. Its totient is φ = 166872000000.

The previous prime is 211321353083. The next prime is 211321353157. The reversal of 211321353125 is 521353123112.

It can be written as a sum of positive squares in 24 ways, for example, as 208134863524 + 3186489601 = 456218^2 + 56449^2 .

It is not a de Polignac number, because 211321353125 - 2¹⁰ = 211321352101 is a prime.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 129089807 + ... + 129091443.

It is an arithmetic number, because the mean of its divisors is an integer number (5574281895).

Almost surely, 2^211321353125 is an apocalyptic number.

211321353125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211321353125 is a deficient number, since it is larger than the sum of its proper divisors (56244177835).

211321353125 is an equidigital number, since it uses as much as digits as its factorization.

211321353125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2152 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

Adding to 211321353125 its reverse (521353123112), we get a palindrome (732674476237).

The spelling of 211321353125 in words is "two hundred eleven billion, three hundred twenty-one million, three hundred fifty-three thousand, one hundred twenty-five".