253204551630 has 192 divisors, whose sum is σ = 709880371200. Its totient is φ = 62383426560.

The previous prime is 253204551577. The next prime is 253204551637. The reversal of 253204551630 is 36155402352.

253204551630 is a `hidden beast` number, since 2 + 53 + 20 + 4 + 551 + 6 + 30 = 666.

It is a super-2 number, since 2×253204551630² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253204551637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82234431 + ... + 82237509.

It is an arithmetic number, because the mean of its divisors is an integer number (3697293600).

Almost surely, 2^253204551630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253204551630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354940185600).

253204551630 is an abundant number, since it is smaller than the sum of its proper divisors (456675819570).

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

253204551630 is a wasteful number, since it uses less digits than its factorization.

253204551630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 253204551630 its reverse (36155402352), we get a palindrome (289359953982).

The spelling of 253204551630 in words is "two hundred fifty-three billion, two hundred four million, five hundred fifty-one thousand, six hundred thirty".