1161006552 has 192 divisors, whose sum is σ = 3436992000. Its totient is φ = 352864512.

The previous prime is 1161006523. The next prime is 1161006563. The reversal of 1161006552 is 2556001611.

It is a happy number.

1161006552 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 0 + 655 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4857649 + ... + 4857887.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 2^1161006552 is an apocalyptic number.

1161006552 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 1161006552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

1161006552 is an abundant number, since it is smaller than the sum of its proper divisors (2275985448).

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

1161006552 is a wasteful number, since it uses less digits than its factorization.

1161006552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1161006552 is about 34073.5462199050. The cubic root of 1161006552 is about 1051.0213952238.

The spelling of 1161006552 in words is "one billion, one hundred sixty-one million, six thousand, five hundred fifty-two".