253300034130 has 384 divisors, whose sum is σ = 732120539904. Its totient is φ = 55590912000.

The previous prime is 253300034063. The next prime is 253300034137. The reversal of 253300034130 is 31430003352.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 253300034130.

It is not an unprimeable number, because it can be changed into a prime (253300034137) 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 191 ways as a sum of consecutive naturals, for example, 1087124494 + ... + 1087124726.

It is an arithmetic number, because the mean of its divisors is an integer number (1906563906).

Almost surely, 2^253300034130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253300034130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366060269952).

253300034130 is an abundant number, since it is smaller than the sum of its proper divisors (478820505774).

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

253300034130 is a wasteful number, since it uses less digits than its factorization.

253300034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 253300034130 its reverse (31430003352), we get a palindrome (284730037482).

The spelling of 253300034130 in words is "two hundred fifty-three billion, three hundred million, thirty-four thousand, one hundred thirty".