253523327121 has 27 divisors (see below), whose sum is σ = 374262441033. Its totient is φ = 165373152840.

The previous prime is 253523327107. The next prime is 253523327207. The reversal of 253523327121 is 121723325352.

The square root of 253523327121 is 503511.

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

253523327121 is a `hidden beast` number, since 2 + 5 + 3 + 523 + 3 + 2 + 7 + 121 = 666.

253523327121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253523327121 - 2⁷ = 253523326993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253523322121) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 70993266 + ... + 70996836.

Almost surely, 2^253523327121 is an apocalyptic number.

253523327121 is the 503511-st square number.

253523327121 is the 251756-th centered octagonal number.

It is an amenable number.

253523327121 is a deficient number, since it is larger than the sum of its proper divisors (120739113912).

253523327121 is an frugal number, since it uses more digits than its factorization.

253523327121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 3621 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

Multiplying 253523327121 by its sum of digits (36), we get a square (9126839776356 = 3021066²).

It can be divided in two parts, 253523 and 327121, that added together give a square (580644 = 762²).

The spelling of 253523327121 in words is "two hundred fifty-three billion, five hundred twenty-three million, three hundred twenty-seven thousand, one hundred twenty-one".