1335085752 has 384 divisors, whose sum is σ = 4840093440. Its totient is φ = 300625920.

The previous prime is 1335085727. The next prime is 1335085753. The reversal of 1335085752 is 2575805331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1335085752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335085753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2858623 + ... + 2859089.

It is an arithmetic number, because the mean of its divisors is an integer number (12604410).

Almost surely, 2^1335085752 is an apocalyptic number.

1335085752 is a gapful number since it is divisible by the number (12) 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 1335085752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1335085752 is an abundant number, since it is smaller than the sum of its proper divisors (3505007688).

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

1335085752 is a wasteful number, since it uses less digits than its factorization.

1335085752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 1335085752 is about 36538.8252684730. The cubic root of 1335085752 is about 1101.1244017787.

The spelling of 1335085752 in words is "one billion, three hundred thirty-five million, eighty-five thousand, seven hundred fifty-two".