726806497131 has 32 divisors (see below), whose sum is σ = 1264993443840. Its totient is φ = 406605031200.

The previous prime is 726806497099. The next prime is 726806497163. The reversal of 726806497131 is 131794608627.

726806497131 is a `hidden beast` number, since 72 + 6 + 80 + 6 + 497 + 1 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (726806497099) and next prime (726806497163).

It is not a de Polignac number, because 726806497131 - 2⁵ = 726806497099 is a prime.

It is a super-2 number, since 2×726806497131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726806497531) 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 31 ways as a sum of consecutive naturals, for example, 94117675 + ... + 94125396.

It is an arithmetic number, because the mean of its divisors is an integer number (39531045120).

Almost surely, 2^726806497131 is an apocalyptic number.

726806497131 is a deficient number, since it is larger than the sum of its proper divisors (538186946709).

726806497131 is a wasteful number, since it uses less digits than its factorization.

726806497131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188243104 (or 188243098 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 726806497131 in words is "seven hundred twenty-six billion, eight hundred six million, four hundred ninety-seven thousand, one hundred thirty-one".