253432520 has 64 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 91578880.

The previous prime is 253432519. The next prime is 253432523. The reversal of 253432520 is 25234352.

It is a super-3 number, since 3×253432520³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253432520.

It is not an unprimeable number, because it can be changed into a prime (253432523) 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 15 ways as a sum of consecutive naturals, for example, 71756 + ... + 75204.

It is an arithmetic number, because the mean of its divisors is an integer number (9780750).

Almost surely, 2^253432520 is an apocalyptic number.

253432520 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 253432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).

253432520 is an abundant number, since it is smaller than the sum of its proper divisors (372535480).

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

253432520 is a wasteful number, since it uses less digits than its factorization.

253432520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 253432520 is about 15919.5640643832. The cubic root of 253432520 is about 632.8305655910.

Adding to 253432520 its reverse (25234352), we get a palindrome (278666872).

The spelling of 253432520 in words is "two hundred fifty-three million, four hundred thirty-two thousand, five hundred twenty".