1331541504 has 200 divisors, whose sum is σ = 4027403688. Its totient is φ = 437944320.

The previous prime is 1331541499. The next prime is 1331541511. The reversal of 1331541504 is 4051451331.

It is a happy number.

1331541504 is a `hidden beast` number, since 1 + 3 + 3 + 154 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4022619 + ... + 4022949.

Almost surely, 2^1331541504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013701844).

1331541504 is an abundant number, since it is smaller than the sum of its proper divisors (2695862184).

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

1331541504 is an frugal number, since it uses more digits than its factorization.

1331541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1331541504 is about 36490.2932846531. The cubic root of 1331541504 is about 1100.1491544301.

Adding to 1331541504 its reverse (4051451331), we get a palindrome (5382992835).

The spelling of 1331541504 in words is "one billion, three hundred thirty-one million, five hundred forty-one thousand, five hundred four".