1335052000 has 96 divisors (see below), whose sum is σ = 3336409440. Its totient is φ = 524876800.

The previous prime is 1335051953. The next prime is 1335052009. The reversal of 1335052000 is 2505331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335052009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233172 + ... + 238828.

It is an arithmetic number, because the mean of its divisors is an integer number (34754265).

Almost surely, 2^1335052000 is an apocalyptic number.

1335052000 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 1335052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668204720).

1335052000 is an abundant number, since it is smaller than the sum of its proper divisors (2001357440).

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

1335052000 is an equidigital number, since it uses as much as digits as its factorization.

1335052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 1335052000 is about 36538.3634006779. The cubic root of 1335052000 is about 1101.1151226084.

Adding to 1335052000 its reverse (2505331), we get a palindrome (1337557331).

The spelling of 1335052000 in words is "one billion, three hundred thirty-five million, fifty-two thousand".