1531521360 has 120 divisors (see below), whose sum is σ = 5196620520. Its totient is φ = 404176896.

The previous prime is 1531521331. The next prime is 1531521361. The reversal of 1531521360 is 631251351.

1531521360 is a `hidden beast` number, since 153 + 152 + 1 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 568536336 + 962985024 = 23844^2 + 31032^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1531521360² = 4691115352272499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531521361) 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 23 ways as a sum of consecutive naturals, for example, 58876 + ... + 80804.

It is an arithmetic number, because the mean of its divisors is an integer number (43305171).

Almost surely, 2^1531521360 is an apocalyptic number.

1531521360 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 1531521360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598310260).

1531521360 is an abundant number, since it is smaller than the sum of its proper divisors (3665099160).

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

1531521360 is a wasteful number, since it uses less digits than its factorization.

1531521360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22045 (or 22036 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1531521360 is about 39134.6567635389. The cubic root of 1531521360 is about 1152.6771554144.

The spelling of 1531521360 in words is "one billion, five hundred thirty-one million, five hundred twenty-one thousand, three hundred sixty".