1532800801 has 45 divisors (see below), whose sum is σ = 1940810099. Its totient is φ = 1210235712.

The previous prime is 1532800769. The next prime is 1532800811. The reversal of 1532800801 is 1080082351.

The square root of 1532800801 is 39151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1193357025 + 339443776 = 34545^2 + 18424^2 .

It is not a de Polignac number, because 1532800801 - 2⁵ = 1532800769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1532800801.

It is not an unprimeable number, because it can be changed into a prime (1532800811) 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 44 ways as a sum of consecutive naturals, for example, 32612760 + ... + 32612806.

Almost surely, 2^1532800801 is an apocalyptic number.

1532800801 is the 39151-st square number.

1532800801 is the 19576-th centered octagonal number.

It is an amenable number.

1532800801 is a deficient number, since it is larger than the sum of its proper divisors (408009298).

1532800801 is an frugal number, since it uses more digits than its factorization.

1532800801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 1532800801 is about 1152.9980502581.

The spelling of 1532800801 in words is "one billion, five hundred thirty-two million, eight hundred thousand, eight hundred one".