1353250800 has 300 divisors, whose sum is σ = 5299622856. Its totient is φ = 327974400.

The previous prime is 1353250733. The next prime is 1353250817. The reversal of 1353250800 is 80523531.

1353250800 is a `hidden beast` number, since 1 + 3 + 532 + 50 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 354502 + ... + 358298.

Almost surely, 2^1353250800 is an apocalyptic number.

1353250800 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 1353250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649811428).

1353250800 is an abundant number, since it is smaller than the sum of its proper divisors (3946372056).

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

1353250800 is a wasteful number, since it uses less digits than its factorization.

1353250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3818 counting only the distinct ones).

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

The square root of 1353250800 is about 36786.5573273716. The cubic root of 1353250800 is about 1106.0958532706.

The spelling of 1353250800 in words is "one billion, three hundred fifty-three million, two hundred fifty thousand, eight hundred".