1541331504 has 120 divisors (see below), whose sum is σ = 4515631120. Its totient is φ = 508923648.

The previous prime is 1541331487. The next prime is 1541331511. The reversal of 1541331504 is 4051331451.

It is a happy number.

1541331504 is a `hidden beast` number, since 154 + 1 + 3 + 3 + 1 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421974 + ... + 425610.

Almost surely, 2^1541331504 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 1541331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257815560).

1541331504 is an abundant number, since it is smaller than the sum of its proper divisors (2974299616).

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

1541331504 is a wasteful number, since it uses less digits than its factorization.

1541331504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3751 counting only the distinct ones).

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

The square root of 1541331504 is about 39259.7950071062. The cubic root of 1541331504 is about 1155.1330728780.

Adding to 1541331504 its reverse (4051331451), we get a palindrome (5592662955).

The spelling of 1541331504 in words is "one billion, five hundred forty-one million, three hundred thirty-one thousand, five hundred four".