6874585095249 has 105 divisors (see below), whose sum is σ = 10920373939163. Its totient is φ = 4325702536944.

The previous prime is 6874585095181. The next prime is 6874585095283. The reversal of 6874585095249 is 9425905854786.

The square root of 6874585095249 is 2621943.

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

6874585095249 is a `hidden beast` number, since 6 + 8 + 7 + 45 + 8 + 50 + 9 + 524 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452314086849 + 6422271008400 = 672543^2 + 2534220^2 .

It is not a de Polignac number, because 6874585095249 - 2¹³ = 6874585087057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6874585095449) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 25556078287 + ... + 25556078555.

Almost surely, 2^{6874585095249} is an apocalyptic number.

6874585095249 is the 2621943-rd square number.

6874585095249 is the 1310972-nd centered octagonal number.

It is an amenable number.

6874585095249 is a deficient number, since it is larger than the sum of its proper divisors (4045788843914).

6874585095249 is an frugal number, since it uses more digits than its factorization.

6874585095249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 6874585095249 in words is "six trillion, eight hundred seventy-four billion, five hundred eighty-five million, ninety-five thousand, two hundred forty-nine".