253801152 has 168 divisors, whose sum is σ = 813797712. Its totient is φ = 74956800.

The previous prime is 253801151. The next prime is 253801157. The reversal of 253801152 is 251108352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (253801151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259288 + ... + 260264.

It is an arithmetic number, because the mean of its divisors is an integer number (4844034).

Almost surely, 2^253801152 is an apocalyptic number.

253801152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406898856).

253801152 is an abundant number, since it is smaller than the sum of its proper divisors (559996560).

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

253801152 is a wasteful number, since it uses less digits than its factorization.

253801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 253801152 is about 15931.1378124728. The cubic root of 253801152 is about 633.1372462823.

The spelling of 253801152 in words is "two hundred fifty-three million, eight hundred one thousand, one hundred fifty-two".