1541135552 has 112 divisors (see below), whose sum is σ = 3456432000. Its totient is φ = 675686400.

The previous prime is 1541135549. The next prime is 1541135569. The reversal of 1541135552 is 2555311451.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3088199 + ... + 3088697.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^1541135552 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 1541135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728216000).

1541135552 is an abundant number, since it is smaller than the sum of its proper divisors (1915296448).

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

1541135552 is a wasteful number, since it uses less digits than its factorization.

1541135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its digits is 15000, while the sum is 32.

The square root of 1541135552 is about 39257.2993467457. The cubic root of 1541135552 is about 1155.0841194832.

The spelling of 1541135552 in words is "one billion, five hundred forty-one million, one hundred thirty-five thousand, five hundred fifty-two".