221253241525 has 24 divisors (see below), whose sum is σ = 281471625288. Its totient is φ = 172423680000.

The previous prime is 221253241507. The next prime is 221253241619. The reversal of 221253241525 is 525142352122.

221253241525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 66047972004 + 155205269521 = 256998^2 + 393961^2 .

It is not a de Polignac number, because 221253241525 - 2⁷ = 221253241397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514245 + ... + 840805.

It is an arithmetic number, because the mean of its divisors is an integer number (11727984387).

Almost surely, 2^221253241525 is an apocalyptic number.

221253241525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221253241525 is a deficient number, since it is larger than the sum of its proper divisors (60218383763).

221253241525 is a wasteful number, since it uses less digits than its factorization.

221253241525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327273 (or 327268 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

Adding to 221253241525 its reverse (525142352122), we get a palindrome (746395593647).

The spelling of 221253241525 in words is "two hundred twenty-one billion, two hundred fifty-three million, two hundred forty-one thousand, five hundred twenty-five".