1253515520 has 72 divisors (see below), whose sum is σ = 3019887360. Its totient is φ = 498513920.

The previous prime is 1253515511. The next prime is 1253515537. The reversal of 1253515520 is 255153521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226385 + ... + 231855.

It is an arithmetic number, because the mean of its divisors is an integer number (41942880).

Almost surely, 2^1253515520 is an apocalyptic number.

1253515520 is a gapful number since it is divisible by the number (10) 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 1253515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509943680).

1253515520 is an abundant number, since it is smaller than the sum of its proper divisors (1766371840).

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

1253515520 is an equidigital number, since it uses as much as digits as its factorization.

1253515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 1253515520 is about 35405.0211128309. The cubic root of 1253515520 is about 1078.2262608747.

The spelling of 1253515520 in words is "one billion, two hundred fifty-three million, five hundred fifteen thousand, five hundred twenty".