726261642124505 has 32 divisors (see below), whose sum is σ = 904835325428640. Its totient is φ = 558940437135360.

The previous prime is 726261642124493. The next prime is 726261642124517. The reversal of 726261642124505 is 505421246162627.

It is an interprime number because it is at equal distance from previous prime (726261642124493) and next prime (726261642124517).

It can be written as a sum of positive squares in 16 ways, for example, as 332181535319104 + 394080106805401 = 18225848^2 + 19851451^2 .

It is not a de Polignac number, because 726261642124505 - 2²⁴ = 726261625347289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3724684115 + ... + 3724879095.

It is an arithmetic number, because the mean of its divisors is an integer number (28276103919645).

Almost surely, 2^{726261642124505} is an apocalyptic number.

It is an amenable number.

726261642124505 is a deficient number, since it is larger than the sum of its proper divisors (178573683304135).

726261642124505 is a wasteful number, since it uses less digits than its factorization.

726261642124505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288029.

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 726261642124505 in words is "seven hundred twenty-six trillion, two hundred sixty-one billion, six hundred forty-two million, one hundred twenty-four thousand, five hundred five".