253078520 has 64 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 97998336.

The previous prime is 253078493. The next prime is 253078523. The reversal of 253078520 is 25870352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253078523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454082 + ... + 454638.

Almost surely, 2^253078520 is an apocalyptic number.

253078520 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 253078520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

253078520 is an abundant number, since it is smaller than the sum of its proper divisors (334696360).

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

253078520 is a wasteful number, since it uses less digits than its factorization.

253078520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 253078520 is about 15908.4417841598. The cubic root of 253078520 is about 632.5357778405.

The spelling of 253078520 in words is "two hundred fifty-three million, seventy-eight thousand, five hundred twenty".