253187483952 has 160 divisors (see below), whose sum is σ = 728993341440. Its totient is φ = 75194772480.

The previous prime is 253187483929. The next prime is 253187483977. The reversal of 253187483952 is 259384781352.

253187483952 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 a junction number, because it is equal to n+sod(n) for n = 253187483892 and 253187483901.

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 31 ways as a sum of consecutive naturals, for example, 7507993 + ... + 7541639.

It is an arithmetic number, because the mean of its divisors is an integer number (4556208384).

Almost surely, 2^253187483952 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 253187483952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364496670720).

253187483952 is an abundant number, since it is smaller than the sum of its proper divisors (475805857488).

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

253187483952 is a wasteful number, since it uses less digits than its factorization.

253187483952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34091 (or 34085 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 253187483952 in words is "two hundred fifty-three billion, one hundred eighty-seven million, four hundred eighty-three thousand, nine hundred fifty-two".