853493279409 has 27 divisors (see below), whose sum is σ = 1245559167489. Its totient is φ = 563177131200.

The previous prime is 853493279399. The next prime is 853493279413. The reversal of 853493279409 is 904972394358.

The square root of 853493279409 is 923847.

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

853493279409 is a `hidden beast` number, since 8 + 53 + 493 + 2 + 7 + 94 + 0 + 9 = 666.

853493279409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15499503009 + 837993776400 = 124497^2 + 915420^2 .

It is not a de Polignac number, because 853493279409 - 2⁵ = 853493279377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (853493279449) 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, 279924117 + ... + 279927165.

Almost surely, 2^853493279409 is an apocalyptic number.

853493279409 is the 923847-th square number.

853493279409 is the 461924-th centered octagonal number.

It is an amenable number.

853493279409 is a deficient number, since it is larger than the sum of its proper divisors (392065888080).

853493279409 is an frugal number, since it uses more digits than its factorization.

853493279409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 853493279409 in words is "eight hundred fifty-three billion, four hundred ninety-three million, two hundred seventy-nine thousand, four hundred nine".