253642545246352 has 40 divisors (see below), whose sum is σ = 509500309456640. Its totient is φ = 122194323757440.

The previous prime is 253642545246287. The next prime is 253642545246353.

253642545246352 is nontrivially palindromic in base 10.

253642545246352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253642545246353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116428118 + ... + 1116655285.

It is an arithmetic number, because the mean of its divisors is an integer number (12737507736416).

Almost surely, 2^{253642545246352} is an apocalyptic number.

It is an amenable number.

253642545246352 is an abundant number, since it is smaller than the sum of its proper divisors (255857764210288).

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

253642545246352 is a wasteful number, since it uses less digits than its factorization.

253642545246352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233083671 (or 2233083665 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

The spelling of 253642545246352 in words is "two hundred fifty-three trillion, six hundred forty-two billion, five hundred forty-five million, two hundred forty-six thousand, three hundred fifty-two".