253000352 has 108 divisors (see below), whose sum is σ = 581016618. Its totient is φ = 108345600.

The previous prime is 253000343. The next prime is 253000357.

253000352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 252301456 + 698896 = 15884^2 + 836^2 .

It is a super-2 number, since 2×253000352² = 128018356224247808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253000357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1397702 + ... + 1397882.

Almost surely, 2^253000352 is an apocalyptic number.

253000352 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 253000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290508309).

253000352 is an abundant number, since it is smaller than the sum of its proper divisors (328016266).

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

253000352 is a wasteful number, since it uses less digits than its factorization.

253000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 253000352 is about 15905.9847856082. The cubic root of 253000352 is about 632.4706476612.

It can be divided in two parts, 253000 and 352, that added together give a palindrome (253352).

The spelling of 253000352 in words is "two hundred fifty-three million, three hundred fifty-two", and thus it is an aban number.