253001112 has 288 divisors, whose sum is σ = 851169600. Its totient is φ = 62270208.

The previous prime is 253001087. The next prime is 253001117. The reversal of 253001112 is 211100352.

It is a junction number, because it is equal to n+sod(n) for n = 253001091 and 253001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253001117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3776103 + ... + 3776169.

It is an arithmetic number, because the mean of its divisors is an integer number (2955450).

Almost surely, 2^253001112 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 253001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425584800).

253001112 is an abundant number, since it is smaller than the sum of its proper divisors (598168488).

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

253001112 is a wasteful number, since it uses less digits than its factorization.

253001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 253001112 is about 15906.0086759690. The cubic root of 253001112 is about 632.4712809636.

Adding to 253001112 its reverse (211100352), we get a palindrome (464101464).

The spelling of 253001112 in words is "two hundred fifty-three million, one thousand, one hundred twelve".