13377004281 has 45 divisors (see below), whose sum is σ = 20380944639. Its totient is φ = 8743820400.

The previous prime is 13377004259. The next prime is 13377004331. The reversal of 13377004281 is 18240077331.

The square root of 13377004281 is 115659.

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

13377004281 is a `hidden beast` number, since 1 + 3 + 377 + 0 + 0 + 4 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147403881 + 13229600400 = 12141^2 + 115020^2 .

It is not a de Polignac number, because 13377004281 - 2¹⁹ = 13376479993 is a prime.

It is a super-2 number, since 2×13377004281² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13377004241) 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 44 ways as a sum of consecutive naturals, for example, 73906011 + ... + 73906191.

Almost surely, 2^13377004281 is an apocalyptic number.

13377004281 is the 115659-th square number.

13377004281 is the 57830-th centered octagonal number.

It is an amenable number.

13377004281 is a deficient number, since it is larger than the sum of its proper divisors (7003940358).

13377004281 is an frugal number, since it uses more digits than its factorization.

13377004281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 13377004281 by its sum of digits (36), we get a square (481572154116 = 693954²).

Multiplying 13377004281 by its product of nonzero digits (28224), we get a square (377552568826944 = 19430712²).

The spelling of 13377004281 in words is "thirteen billion, three hundred seventy-seven million, four thousand, two hundred eighty-one".