253435132000 has 96 divisors (see below), whose sum is σ = 622997313120. Its totient is φ = 101324044800.

The previous prime is 253435131977. The next prime is 253435132039. The reversal of 253435132000 is 231534352.

It is a super-2 number, since 2×253435132000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253435132000.

It is a congruent number.

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, 8701462 + ... + 8730538.

It is an arithmetic number, because the mean of its divisors is an integer number (6489555345).

Almost surely, 2^253435132000 is an apocalyptic number.

253435132000 is a gapful number since it is divisible by the number (20) 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 253435132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311498656560).

253435132000 is an abundant number, since it is smaller than the sum of its proper divisors (369562181120).

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

253435132000 is a wasteful number, since it uses less digits than its factorization.

253435132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31281 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 253435132000 its reverse (231534352), we get a palindrome (253666666352).

The spelling of 253435132000 in words is "two hundred fifty-three billion, four hundred thirty-five million, one hundred thirty-two thousand".