1353050800 has 120 divisors (see below), whose sum is σ = 3532789760. Its totient is φ = 496108800.

The previous prime is 1353050779. The next prime is 1353050827. The reversal of 1353050800 is 80503531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232729 + ... + 238471.

Almost surely, 2^1353050800 is an apocalyptic number.

1353050800 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 1353050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766394880).

1353050800 is an abundant number, since it is smaller than the sum of its proper divisors (2179738960).

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

1353050800 is a wasteful number, since it uses less digits than its factorization.

1353050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1353050800 is about 36783.8388426222. The cubic root of 1353050800 is about 1106.0413597823.

The spelling of 1353050800 in words is "one billion, three hundred fifty-three million, fifty thousand, eight hundred".