1532557152 has 384 divisors, whose sum is σ = 5364817920. Its totient is φ = 416586240.

The previous prime is 1532557151. The next prime is 1532557177. The reversal of 1532557152 is 2517552351.

1532557152 is a `hidden beast` number, since 1 + 5 + 32 + 5 + 571 + 52 = 666.

It is a super-2 number, since 2×1532557152² = 4697462848292702208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532557151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18464503 + ... + 18464585.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^1532557152 is an apocalyptic number.

1532557152 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 1532557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

1532557152 is an abundant number, since it is smaller than the sum of its proper divisors (3832260768).

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

1532557152 is a wasteful number, since it uses less digits than its factorization.

1532557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 1532557152 is about 39147.8882189065. Note that the first 3 decimals coincide. The cubic root of 1532557152 is about 1152.9369547550.

The spelling of 1532557152 in words is "one billion, five hundred thirty-two million, five hundred fifty-seven thousand, one hundred fifty-two".