1350253800 has 480 divisors, whose sum is σ = 5491464000. Its totient is φ = 308629440.

The previous prime is 1350253783. The next prime is 1350253813. The reversal of 1350253800 is 83520531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 192893397 + ... + 192893403.

It is an arithmetic number, because the mean of its divisors is an integer number (11440550).

Almost surely, 2^1350253800 is an apocalyptic number.

1350253800 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 1350253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745732000).

1350253800 is an abundant number, since it is smaller than the sum of its proper divisors (4141210200).

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

1350253800 is an frugal number, since it uses more digits than its factorization.

1350253800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1350253800 is about 36745.7997599726. The cubic root of 1350253800 is about 1105.2787050445.

The spelling of 1350253800 in words is "one billion, three hundred fifty million, two hundred fifty-three thousand, eight hundred".