1330753536 has 312 divisors, whose sum is σ = 4579620864. Its totient is φ = 378224640.

The previous prime is 1330753493. The next prime is 1330753603. The reversal of 1330753536 is 6353570331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1330753536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967201 + ... + 6967391.

It is an arithmetic number, because the mean of its divisors is an integer number (14678272).

Almost surely, 2^1330753536 is an apocalyptic number.

1330753536 is a gapful number since it is divisible by the number (16) 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 1330753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289810432).

1330753536 is an abundant number, since it is smaller than the sum of its proper divisors (3248867328).

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

1330753536 is an frugal number, since it uses more digits than its factorization.

1330753536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 1330753536 is about 36479.4947333430. The cubic root of 1330753536 is about 1099.9320993900.

The spelling of 1330753536 in words is "one billion, three hundred thirty million, seven hundred fifty-three thousand, five hundred thirty-six".