253544445352 has 64 divisors (see below), whose sum is σ = 520421630400. Its totient is φ = 114846336000.

The previous prime is 253544445347. The next prime is 253544445409.

It is a happy number.

253544445352 is nontrivially palindromic in base 10.

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, 39117952 + ... + 39124432.

It is an arithmetic number, because the mean of its divisors is an integer number (8131587975).

Almost surely, 2^253544445352 is an apocalyptic number.

253544445352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253544445352 is an abundant number, since it is smaller than the sum of its proper divisors (266877185048).

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

253544445352 is a wasteful number, since it uses less digits than its factorization.

253544445352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7974 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 46.

It can be divided in two parts, 253544 and 445352, that added together give a palindrome (698896).

The spelling of 253544445352 in words is "two hundred fifty-three billion, five hundred forty-four million, four hundred forty-five thousand, three hundred fifty-two".