1331503488 has 256 divisors, whose sum is σ = 4688409600. Its totient is φ = 363737088.

The previous prime is 1331503483. The next prime is 1331503499. The reversal of 1331503488 is 8843051331.

It is a super-2 number, since 2×1331503488² = 3545803077112332288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331503483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555220 + ... + 557612.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^1331503488 is an apocalyptic number.

1331503488 is a gapful number since it is divisible by the number (18) 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 1331503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

1331503488 is an abundant number, since it is smaller than the sum of its proper divisors (3356906112).

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

1331503488 is a wasteful number, since it uses less digits than its factorization.

1331503488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1331503488 is about 36489.7723752835. The cubic root of 1331503488 is about 1100.1386844428.

The spelling of 1331503488 in words is "one billion, three hundred thirty-one million, five hundred three thousand, four hundred eighty-eight".