211348355730625 has 45 divisors (see below), whose sum is σ = 268529572568829. Its totient is φ = 166289457480000.

The previous prime is 211348355730593. The next prime is 211348355730727. The reversal of 211348355730625 is 526037553843112.

The square root of 211348355730625 is 14537825.

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

It can be written as a sum of positive squares in 22 ways, for example, as 21004833108609 + 190343522622016 = 4583103^2 + 13796504^2 .

It is not a de Polignac number, because 211348355730625 - 2⁵ = 211348355730593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22170178359 + ... + 22170187891.

Almost surely, 2^{211348355730625} is an apocalyptic number.

211348355730625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211348355730625 is the 14537825-th square number.

211348355730625 is the 7268913-rd centered octagonal number.

It is an amenable number.

211348355730625 is a deficient number, since it is larger than the sum of its proper divisors (57181216838204).

211348355730625 is an frugal number, since it uses more digits than its factorization.

211348355730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19208 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 211348355730625 in words is "two hundred eleven trillion, three hundred forty-eight billion, three hundred fifty-five million, seven hundred thirty thousand, six hundred twenty-five".