1553541152 has 48 divisors (see below), whose sum is σ = 3150810432. Its totient is φ = 753580800.

The previous prime is 1553541151. The next prime is 1553541169. The reversal of 1553541152 is 2511453551.

It is a super-2 number, since 2×1553541152² = 4826980221914974208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1553541151) 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 7 ways as a sum of consecutive naturals, for example, 204038 + ... + 211514.

It is an arithmetic number, because the mean of its divisors is an integer number (65641884).

Almost surely, 2^1553541152 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 1553541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575405216).

1553541152 is an abundant number, since it is smaller than the sum of its proper divisors (1597269280).

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

1553541152 is a wasteful number, since it uses less digits than its factorization.

1553541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7673 counting only the distinct ones).

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

The square root of 1553541152 is about 39414.9863884285. The cubic root of 1553541152 is about 1158.1751807862.

The spelling of 1553541152 in words is "one billion, five hundred fifty-three million, five hundred forty-one thousand, one hundred fifty-two".