253213304520 has 64 divisors (see below), whose sum is σ = 828698091840. Its totient is φ = 61385043200.

The previous prime is 253213304459. The next prime is 253213304527. The reversal of 253213304520 is 25403312352.

253213304520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253213304527) 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 15 ways as a sum of consecutive naturals, for example, 95912811 + ... + 95915450.

It is an arithmetic number, because the mean of its divisors is an integer number (12948407685).

Almost surely, 2^253213304520 is an apocalyptic number.

253213304520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253213304520 is an abundant number, since it is smaller than the sum of its proper divisors (575484787320).

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

253213304520 is a wasteful number, since it uses less digits than its factorization.

253213304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191828286 (or 191828282 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 253213304520 its reverse (25403312352), we get a palindrome (278616616872).

The spelling of 253213304520 in words is "two hundred fifty-three billion, two hundred thirteen million, three hundred four thousand, five hundred twenty".