253201128 has 64 divisors (see below), whose sum is σ = 678404160. Its totient is φ = 78468096.

The previous prime is 253201121. The next prime is 253201147. The reversal of 253201128 is 821102352.

It is a super-2 number, since 2×253201128² = 128221622440944768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 253201098 and 253201107.

It is not an unprimeable number, because it can be changed into a prime (253201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30126 + ... + 37602.

It is an arithmetic number, because the mean of its divisors is an integer number (10600065).

Almost surely, 2^253201128 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 253201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339202080).

253201128 is an abundant number, since it is smaller than the sum of its proper divisors (425203032).

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

253201128 is a wasteful number, since it uses less digits than its factorization.

253201128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 253201128 is about 15912.2948690627. The cubic root of 253201128 is about 632.6379087600.

The spelling of 253201128 in words is "two hundred fifty-three million, two hundred one thousand, one hundred twenty-eight".