253235322100 has 36 divisors (see below), whose sum is σ = 549645906348. Its totient is φ = 101271040000.

The previous prime is 253235322083. The next prime is 253235322113. The reversal of 253235322100 is 1223532352.

It is a happy number.

253235322100 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 6 ways, for example, as 12268220644 + 240967101456 = 110762^2 + 490884^2 .

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 11 ways as a sum of consecutive naturals, for example, 155700 + ... + 728500.

It is an arithmetic number, because the mean of its divisors is an integer number (15267941843).

Almost surely, 2^253235322100 is an apocalyptic number.

253235322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253235322100 is an abundant number, since it is smaller than the sum of its proper divisors (296410584248).

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

253235322100 is a wasteful number, since it uses less digits than its factorization.

253235322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577236 (or 577229 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 253235322100 its reverse (1223532352), we get a palindrome (254458854452).

The spelling of 253235322100 in words is "two hundred fifty-three billion, two hundred thirty-five million, three hundred twenty-two thousand, one hundred".