213414105314525 has 12 divisors (see below), whose sum is σ = 264633825476532. Its totient is φ = 170731068195840.

The previous prime is 213414105314453. The next prime is 213414105314561. The reversal of 213414105314525 is 525413501414312.

It can be written as a sum of positive squares in 6 ways, for example, as 1482788419204 + 211931316895321 = 1217698^2 + 14557861^2 .

It is not a de Polignac number, because 213414105314525 - 2¹⁸ = 213414105052381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16488647 + ... + 26433003.

It is an arithmetic number, because the mean of its divisors is an integer number (22052818789711).

Almost surely, 2^{213414105314525} is an apocalyptic number.

213414105314525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213414105314525 is a deficient number, since it is larger than the sum of its proper divisors (51219720162007).

213414105314525 is an equidigital number, since it uses as much as digits as its factorization.

213414105314525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802800 (or 10802795 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

Adding to 213414105314525 its reverse (525413501414312), we get a palindrome (738827606728837).

The spelling of 213414105314525 in words is "two hundred thirteen trillion, four hundred fourteen billion, one hundred five million, three hundred fourteen thousand, five hundred twenty-five".