726253734754261 has 32 divisors (see below), whose sum is σ = 831988189921280. Its totient is φ = 621016948094400.

The previous prime is 726253734754157. The next prime is 726253734754283. The reversal of 726253734754261 is 162457437352627.

It is a cyclic number.

It is not a de Polignac number, because 726253734754261 - 2³⁷ = 726116295800789 is a prime.

It is a super-2 number, since 2×726253734754261² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726253734754193 and 726253734754202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726253734794261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46821843496 + ... + 46821859006.

It is an arithmetic number, because the mean of its divisors is an integer number (25999630935040).

Almost surely, 2^{726253734754261} is an apocalyptic number.

It is an amenable number.

726253734754261 is a deficient number, since it is larger than the sum of its proper divisors (105734455167019).

726253734754261 is a wasteful number, since it uses less digits than its factorization.

726253734754261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23585.

The product of its digits is 355622400, while the sum is 64.

The spelling of 726253734754261 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, seven hundred thirty-four million, seven hundred fifty-four thousand, two hundred sixty-one".