1355513200 has 120 divisors (see below), whose sum is σ = 3487276800. Its totient is φ = 504794880.

The previous prime is 1355513197. The next prime is 1355513221. The reversal of 1355513200 is 23155531.

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

It is a congruent number.

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, 446889 + ... + 449911.

It is an arithmetic number, because the mean of its divisors is an integer number (29060640).

Almost surely, 2^1355513200 is an apocalyptic number.

1355513200 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 1355513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743638400).

1355513200 is an abundant number, since it is smaller than the sum of its proper divisors (2131763600).

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

1355513200 is a wasteful number, since it uses less digits than its factorization.

1355513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1355513200 is about 36817.2948490244. The cubic root of 1355513200 is about 1106.7119100550.

Adding to 1355513200 its reverse (23155531), we get a palindrome (1378668731).

The spelling of 1355513200 in words is "one billion, three hundred fifty-five million, five hundred thirteen thousand, two hundred".