1552013568 has 144 divisors (see below), whose sum is σ = 5245394560. Its totient is φ = 443418624.

The previous prime is 1552013513. The next prime is 1552013569. The reversal of 1552013568 is 8653102551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1552013568³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1552013569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32346 + ... + 64422.

Almost surely, 2^1552013568 is an apocalyptic number.

1552013568 is a gapful number since it is divisible by the number (18) 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 1552013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622697280).

1552013568 is an abundant number, since it is smaller than the sum of its proper divisors (3693380992).

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

1552013568 is an equidigital number, since it uses as much as digits as its factorization.

1552013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32109 (or 32089 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1552013568 is about 39395.6034095177. The cubic root of 1552013568 is about 1157.7954483122.

The spelling of 1552013568 in words is "one billion, five hundred fifty-two million, thirteen thousand, five hundred sixty-eight".