1153800370801 has 27 divisors (see below), whose sum is σ = 1274216809089. Its totient is φ = 1044281008992.

The previous prime is 1153800370781. The next prime is 1153800370813. The reversal of 1153800370801 is 1080730083511.

The square root of 1153800370801 is 1074151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29945956401 + 1123854414400 = 173049^2 + 1060120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1153800370801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1153800370601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 740089260 + ... + 740090818.

Almost surely, 2^{1153800370801} is an apocalyptic number.

1153800370801 is the 1074151-st square number.

1153800370801 is the 537076-th centered octagonal number.

It is an amenable number.

1153800370801 is a deficient number, since it is larger than the sum of its proper divisors (120416438288).

1153800370801 is an frugal number, since it uses more digits than its factorization.

1153800370801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 1153800370801 in words is "one trillion, one hundred fifty-three billion, eight hundred million, three hundred seventy thousand, eight hundred one".