1533956112 has 180 divisors, whose sum is σ = 4836040300. Its totient is φ = 451173888.

The previous prime is 1533956107. The next prime is 1533956119. The reversal of 1533956112 is 2116593351.

It is a happy number.

1533956112 is a `hidden beast` number, since 1 + 5 + 3 + 39 + 5 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 362673936 + 1171282176 = 19044^2 + 34224^2 .

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 (1533956119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 989514 + ... + 991062.

Almost surely, 2^1533956112 is an apocalyptic number.

1533956112 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 1533956112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418020150).

1533956112 is an abundant number, since it is smaller than the sum of its proper divisors (3302084188).

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

1533956112 is a wasteful number, since it uses less digits than its factorization.

1533956112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1590 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 1533956112 is about 39165.7517737117. The cubic root of 1533956112 is about 1153.2876588399.

The spelling of 1533956112 in words is "one billion, five hundred thirty-three million, nine hundred fifty-six thousand, one hundred twelve".