2211350625 has 225 divisors, whose sum is σ = 4788649173. Its totient is φ = 1015740000.

The previous prime is 2211350573. The next prime is 2211350627. The reversal of 2211350625 is 5260531122.

It is a happy number.

The square root of 2211350625 is 47025.

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

2211350625 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 35 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173369889 + 2037980736 = 13167^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2211350625 - 2²⁹ = 1674479713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2211350627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 116386866 + ... + 116386884.

Almost surely, 2^2211350625 is an apocalyptic number.

2211350625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2211350625 is the 47025-th square number.

2211350625 is the 23513-rd centered octagonal number.

It is an amenable number.

2211350625 is an abundant number, since it is smaller than the sum of its proper divisors (2577298548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211350625 is an equidigital number, since it uses as much as digits as its factorization.

2211350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 2211350625 is about 1302.8243574339.

Multiplying 2211350625 by its product of nonzero digits (3600), we get a square (7960862250000 = 2821500²).

Adding to 2211350625 its reverse (5260531122), we get a palindrome (7471881747).

It can be divided in two parts, 2211 and 350625, that added together give a square (352836 = 594²).

The spelling of 2211350625 in words is "two billion, two hundred eleven million, three hundred fifty thousand, six hundred twenty-five".