1611135552 has 224 divisors, whose sum is σ = 4931176320. Its totient is φ = 460062720.

The previous prime is 1611135527. The next prime is 1611135569. The reversal of 1611135552 is 2555311161.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513152 + ... + 2513792.

It is an arithmetic number, because the mean of its divisors is an integer number (22014180).

Almost surely, 2^1611135552 is an apocalyptic number.

1611135552 is a gapful number since it is divisible by the number (12) 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 1611135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465588160).

1611135552 is an abundant number, since it is smaller than the sum of its proper divisors (3320040768).

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

1611135552 is a wasteful number, since it uses less digits than its factorization.

1611135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its digits is 4500, while the sum is 30.

The square root of 1611135552 is about 40138.9530506215. The cubic root of 1611135552 is about 1172.3142040227.

The spelling of 1611135552 in words is "one billion, six hundred eleven million, one hundred thirty-five thousand, five hundred fifty-two".