253303541252000 has 96 divisors (see below), whose sum is σ = 630892374197904. Its totient is φ = 99933451776000.

The previous prime is 253303541251993. The next prime is 253303541252023. The reversal of 253303541252000 is 252145303352.

253303541252000 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 8 ways, for example, as 16909103236624 + 236394438015376 = 4112068^2 + 15375124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433446941 + ... + 434030940.

Almost surely, 2^{253303541252000} is an apocalyptic number.

253303541252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253303541252000 is an abundant number, since it is smaller than the sum of its proper divisors (377588832945904).

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

253303541252000 is an equidigital number, since it uses as much as digits as its factorization.

253303541252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867477979 (or 867477961 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 253303541252000 its reverse (252145303352), we get a palindrome (253555686555352).

The spelling of 253303541252000 in words is "two hundred fifty-three trillion, three hundred three billion, five hundred forty-one million, two hundred fifty-two thousand".