1353602000 has 80 divisors (see below), whose sum is σ = 3305908944. Its totient is φ = 536000000.

The previous prime is 1353601993. The next prime is 1353602039. The reversal of 1353602000 is 2063531.

It can be written as a sum of positive squares in 8 ways, for example, as 169416256 + 1184185744 = 13016^2 + 34412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198650 + ... + 205350.

Almost surely, 2^1353602000 is an apocalyptic number.

1353602000 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 1353602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652954472).

1353602000 is an abundant number, since it is smaller than the sum of its proper divisors (1952306944).

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

1353602000 is a wasteful number, since it uses less digits than its factorization.

1353602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1353602000 is about 36791.3305005405. The cubic root of 1353602000 is about 1106.1915308453.

Adding to 1353602000 its reverse (2063531), we get a palindrome (1355665531).

The spelling of 1353602000 in words is "one billion, three hundred fifty-three million, six hundred two thousand".