218131032025 has 27 divisors (see below), whose sum is σ = 280218079063. Its totient is φ = 168435108800.

The previous prime is 218131032019. The next prime is 218131032131. The reversal of 218131032025 is 520230131812.

The square root of 218131032025 is 467045.

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

It can be written as a sum of positive squares in 13 ways, for example, as 72820641609 + 145310390416 = 269853^2 + 381196^2 .

It is not a de Polignac number, because 218131032025 - 2⁹ = 218131031513 is a prime.

It is a super-2 number, since 2×218131032025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218131031984 and 218131032002.

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 26 ways as a sum of consecutive naturals, for example, 67719915 + ... + 67723135.

Almost surely, 2^218131032025 is an apocalyptic number.

218131032025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

218131032025 is the 467045-th square number.

218131032025 is the 233523-rd centered octagonal number.

It is an amenable number.

218131032025 is a deficient number, since it is larger than the sum of its proper divisors (62087047038).

218131032025 is an frugal number, since it uses more digits than its factorization.

218131032025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 218131032025 its reverse (520230131812), we get a palindrome (738361163837).

The spelling of 218131032025 in words is "two hundred eighteen billion, one hundred thirty-one million, thirty-two thousand, twenty-five".