1533256560 has 320 divisors, whose sum is σ = 5888194560. Its totient is φ = 363525120.

The previous prime is 1533256553. The next prime is 1533256561. The reversal of 1533256560 is 656523351.

1533256560 is a `hidden beast` number, since 1 + 5 + 3 + 32 + 565 + 60 = 666.

1533256560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (1533256561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116034 + ... + 1117406.

It is an arithmetic number, because the mean of its divisors is an integer number (18400608).

Almost surely, 2^1533256560 is an apocalyptic number.

1533256560 is a gapful number since it is divisible by the number (10) 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 1533256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944097280).

1533256560 is an abundant number, since it is smaller than the sum of its proper divisors (4354938000).

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

1533256560 is a wasteful number, since it uses less digits than its factorization.

1533256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 1533256560 is about 39156.8200956104. The cubic root of 1533256560 is about 1153.1123154134.

The spelling of 1533256560 in words is "one billion, five hundred thirty-three million, two hundred fifty-six thousand, five hundred sixty".