211503411025 has 81 divisors (see below), whose sum is σ = 285581015451. Its totient is φ = 155363568480.

The previous prime is 211503410983. The next prime is 211503411061. The reversal of 211503411025 is 520114305112.

The square root of 211503411025 is 459895.

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

It can be written as a sum of positive squares in only one way, i.e., 76141227969 + 135362183056 = 275937^2 + 367916^2 .

It is not a de Polignac number, because 211503411025 - 2⁷ = 211503410897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2053431124 + ... + 2053431226.

Almost surely, 2^211503411025 is an apocalyptic number.

211503411025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211503411025 is the 459895-th square number.

211503411025 is the 229948-th centered octagonal number.

It is an amenable number.

211503411025 is a deficient number, since it is larger than the sum of its proper divisors (74077604426).

211503411025 is an equidigital number, since it uses as much as digits as its factorization.

211503411025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Multiplying 211503411025 by its sum of digits (25), we get a square (5287585275625 = 2299475²).

211503411025 divided by its sum of digits (25) gives a square (8460136441 = 91979²).

Adding to 211503411025 its reverse (520114305112), we get a palindrome (731617716137).

The spelling of 211503411025 in words is "two hundred eleven billion, five hundred three million, four hundred eleven thousand, twenty-five".