6281775284409 has 45 divisors (see below), whose sum is σ = 9904445195007. Its totient is φ = 3967166336256.

The previous prime is 6281775284377. The next prime is 6281775284479. The reversal of 6281775284409 is 9044825771826.

It is a happy number.

The square root of 6281775284409 is 2506347.

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

6281775284409 is a `hidden beast` number, since 6 + 2 + 8 + 177 + 52 + 8 + 4 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6254375765625 + 27399518784 = 2500875^2 + 165528^2 .

It is not a de Polignac number, because 6281775284409 - 2⁵ = 6281775284377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6281775284479) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 428578009 + ... + 428592665.

Almost surely, 2^{6281775284409} is an apocalyptic number.

6281775284409 is the 2506347-th square number.

6281775284409 is the 1253174-th centered octagonal number.

It is an amenable number.

6281775284409 is a deficient number, since it is larger than the sum of its proper divisors (3622669910598).

6281775284409 is an frugal number, since it uses more digits than its factorization.

6281775284409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29364 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 6281775284409 in words is "six trillion, two hundred eighty-one billion, seven hundred seventy-five million, two hundred eighty-four thousand, four hundred nine".