1253509760 has 64 divisors (see below), whose sum is σ = 3010452480. Its totient is φ = 499098624.

The previous prime is 1253509759. The next prime is 1253509783. The reversal of 1253509760 is 679053521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138329 + ... + 147111.

It is an arithmetic number, because the mean of its divisors is an integer number (47038320).

Almost surely, 2^1253509760 is an apocalyptic number.

1253509760 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 1253509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505226240).

1253509760 is an abundant number, since it is smaller than the sum of its proper divisors (1756942720).

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

1253509760 is an equidigital number, since it uses as much as digits as its factorization.

1253509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 1253509760 is about 35404.9397683431. The cubic root of 1253509760 is about 1078.2246093614.

The spelling of 1253509760 in words is "one billion, two hundred fifty-three million, five hundred nine thousand, seven hundred sixty".