253135632 has 80 divisors (see below), whose sum is σ = 701472960. Its totient is φ = 78414336.

The previous prime is 253135621. The next prime is 253135643. The reversal of 253135632 is 236531352.

It is an interprime number because it is at equal distance from previous prime (253135621) and next prime (253135643).

It is a self number, because there is not a number n which added to its sum of digits gives 253135632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45718 + ... + 50954.

It is an arithmetic number, because the mean of its divisors is an integer number (8768412).

Almost surely, 2^253135632 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 253135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350736480).

253135632 is an abundant number, since it is smaller than the sum of its proper divisors (448337328).

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

253135632 is a wasteful number, since it uses less digits than its factorization.

253135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5314 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 253135632 is about 15910.2367047131. The cubic root of 253135632 is about 632.5833555201.

Adding to 253135632 its reverse (236531352), we get a palindrome (489666984).

The spelling of 253135632 in words is "two hundred fifty-three million, one hundred thirty-five thousand, six hundred thirty-two".