210814131025 has 27 divisors (see below), whose sum is σ = 263212419603. Its totient is φ = 167496096000.

The previous prime is 210814131013. The next prime is 210814131037. The reversal of 210814131025 is 520131418012.

The square root of 210814131025 is 459145.

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

It is an interprime number because it is at equal distance from previous prime (210814131013) and next prime (210814131037).

It can be written as a sum of positive squares in 13 ways, for example, as 15930731089 + 194883399936 = 126217^2 + 441456^2 .

It is not a de Polignac number, because 210814131025 - 2⁷ = 210814130897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210814130984 and 210814131002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 525720825 + ... + 525721225.

Almost surely, 2^210814131025 is an apocalyptic number.

210814131025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

210814131025 is the 459145-th square number.

210814131025 is the 229573-rd centered octagonal number.

It is an amenable number.

210814131025 is a deficient number, since it is larger than the sum of its proper divisors (52398288578).

210814131025 is an frugal number, since it uses more digits than its factorization.

210814131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 210814131025 its reverse (520131418012), we get a palindrome (730945549037).

The spelling of 210814131025 in words is "two hundred ten billion, eight hundred fourteen million, one hundred thirty-one thousand, twenty-five".