253010520 has 256 divisors, whose sum is σ = 984960000. Its totient is φ = 57746304.

The previous prime is 253010491. The next prime is 253010521. The reversal of 253010520 is 25010352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253010493 and 253010502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253010521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370099 + ... + 370781.

It is an arithmetic number, because the mean of its divisors is an integer number (3847500).

Almost surely, 2^253010520 is an apocalyptic number.

253010520 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 253010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480000).

253010520 is an abundant number, since it is smaller than the sum of its proper divisors (731949480).

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

253010520 is a wasteful number, since it uses less digits than its factorization.

253010520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 253010520 is about 15906.3044105160. The cubic root of 253010520 is about 632.4791204760.

Adding to 253010520 its reverse (25010352), we get a palindrome (278020872).

It can be divided in two parts, 2530105 and 20, that added together give a triangular number (2530125 = T₂₂₄₉).

The spelling of 253010520 in words is "two hundred fifty-three million, ten thousand, five hundred twenty".