493971414561 has 27 divisors (see below), whose sum is σ = 758009604313. Its totient is φ = 309920357760.

The previous prime is 493971414553. The next prime is 493971414569. The reversal of 493971414561 is 165414179394.

The square root of 493971414561 is 702831.

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

493971414561 is a `hidden beast` number, since 4 + 9 + 3 + 9 + 71 + 4 + 1 + 4 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (493971414553) and next prime (493971414569).

It can be written as a sum of positive squares in 4 ways, for example, as 63693140625 + 430278273936 = 252375^2 + 655956^2 .

It is not a de Polignac number, because 493971414561 - 2³ = 493971414553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 493971414498 and 493971414507.

It is not an unprimeable number, because it can be changed into a prime (493971414569) 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, 35837491 + ... + 35851271.

Almost surely, 2^493971414561 is an apocalyptic number.

493971414561 is the 702831-st square number.

493971414561 is the 351416-th centered octagonal number.

It is an amenable number.

493971414561 is a deficient number, since it is larger than the sum of its proper divisors (264038189752).

493971414561 is an frugal number, since it uses more digits than its factorization.

493971414561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27602 (or 13801 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 493971414561 in words is "four hundred ninety-three billion, nine hundred seventy-one million, four hundred fourteen thousand, five hundred sixty-one".