253012032 has 224 divisors, whose sum is σ = 916025600. Its totient is φ = 66686976.

The previous prime is 253012021. The next prime is 253012051. The reversal of 253012032 is 230210352.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253011996 and 253012014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156444 + ... + 158052.

It is an arithmetic number, because the mean of its divisors is an integer number (4089400).

Almost surely, 2^253012032 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 253012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458012800).

253012032 is an abundant number, since it is smaller than the sum of its proper divisors (663013568).

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

253012032 is a wasteful number, since it uses less digits than its factorization.

253012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253012032 is about 15906.3519387696. The cubic root of 253012032 is about 632.4803803795.

Adding to 253012032 its reverse (230210352), we get a palindrome (483222384).

The spelling of 253012032 in words is "two hundred fifty-three million, twelve thousand, thirty-two".