253087343808 has 112 divisors (see below), whose sum is σ = 724233365856. Its totient is φ = 77538631680.

The previous prime is 253087343807. The next prime is 253087343809. The reversal of 253087343808 is 808343780352.

It is a happy number.

253087343808 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253087343807) and next prime (253087343809).

It is not an unprimeable number, because it can be changed into a prime (253087343807) 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, 363978 + ... + 799158.

It is an arithmetic number, because the mean of its divisors is an integer number (6466369338).

Almost surely, 2^253087343808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253087343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362116682928).

253087343808 is an abundant number, since it is smaller than the sum of its proper divisors (471146022048).

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

253087343808 is a wasteful number, since it uses less digits than its factorization.

253087343808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435442 (or 435432 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 253087343808 in words is "two hundred fifty-three billion, eighty-seven million, three hundred forty-three thousand, eight hundred eight".