13282793001 has 27 divisors (see below), whose sum is σ = 19686637893. Its totient is φ = 8629994880.

The previous prime is 13282792987. The next prime is 13282793003. The reversal of 13282793001 is 10039728231.

The square root of 13282793001 is 115251.

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

13282793001 is a `hidden beast` number, since 1 + 3 + 282 + 79 + 300 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10740213225 + 2542579776 = 103635^2 + 50424^2 .

It is not a de Polignac number, because 13282793001 - 2⁹ = 13282792489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13282793003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14175405 + ... + 14176341.

Almost surely, 2^13282793001 is an apocalyptic number.

13282793001 is the 115251-st square number.

13282793001 is the 57626-th centered octagonal number.

It is an amenable number.

13282793001 is a deficient number, since it is larger than the sum of its proper divisors (6403844892).

13282793001 is an frugal number, since it uses more digits than its factorization.

13282793001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 13282793001 by its sum of digits (36), we get a square (478180548036 = 691506²).

The spelling of 13282793001 in words is "thirteen billion, two hundred eighty-two million, seven hundred ninety-three thousand, one".