253143513440 has 96 divisors (see below), whose sum is σ = 599671066176. Its totient is φ = 100983674880.

The previous prime is 253143513437. The next prime is 253143513457. The reversal of 253143513440 is 44315341352.

253143513440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253143513440.

It is a congruent number.

It is an unprimeable number.

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, 138253325 + ... + 138255155.

It is an arithmetic number, because the mean of its divisors is an integer number (6246573606).

Almost surely, 2^253143513440 is an apocalyptic number.

253143513440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253143513440 is an abundant number, since it is smaller than the sum of its proper divisors (346527552736).

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

253143513440 is a wasteful number, since it uses less digits than its factorization.

253143513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 253143513440 its reverse (44315341352), we get a palindrome (297458854792).

The spelling of 253143513440 in words is "two hundred fifty-three billion, one hundred forty-three million, five hundred thirteen thousand, four hundred forty".