1541117536 has 96 divisors (see below), whose sum is σ = 3616462080. Its totient is φ = 632486400.

The previous prime is 1541117533. The next prime is 1541117563. The reversal of 1541117536 is 6357111451.

It is a super-2 number, since 2×1541117536² = 4750086519533422592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541117533) 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 15 ways as a sum of consecutive naturals, for example, 850071 + ... + 851881.

It is an arithmetic number, because the mean of its divisors is an integer number (37671480).

Almost surely, 2^1541117536 is an apocalyptic number.

1541117536 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 1541117536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808231040).

1541117536 is an abundant number, since it is smaller than the sum of its proper divisors (2075344544).

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

1541117536 is a wasteful number, since it uses less digits than its factorization.

1541117536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its digits is 12600, while the sum is 34.

The square root of 1541117536 is about 39257.0698855633. The cubic root of 1541117536 is about 1155.0796184566.

Adding to 1541117536 its reverse (6357111451), we get a palindrome (7898228987).

The spelling of 1541117536 in words is "one billion, five hundred forty-one million, one hundred seventeen thousand, five hundred thirty-six".