253211520 has 128 divisors (see below), whose sum is σ = 826151040. Its totient is φ = 65931264.

The previous prime is 253211509. The next prime is 253211527. The reversal of 253211520 is 25112352.

253211520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253211527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81027 + ... + 84093.

It is an arithmetic number, because the mean of its divisors is an integer number (6454305).

Almost surely, 2^253211520 is an apocalyptic number.

253211520 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 253211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413075520).

253211520 is an abundant number, since it is smaller than the sum of its proper divisors (572939520).

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

253211520 is a wasteful number, since it uses less digits than its factorization.

253211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 253211520 is about 15912.6214056641. The cubic root of 253211520 is about 632.6465636494.

Adding to 253211520 its reverse (25112352), we get a palindrome (278323872).

The spelling of 253211520 in words is "two hundred fifty-three million, two hundred eleven thousand, five hundred twenty".