267631363561 has 9 divisors (see below), whose sum is σ = 277193799831. Its totient is φ = 258388210584.

The previous prime is 267631363529. The next prime is 267631363567. The reversal of 267631363561 is 165363136762.

The square root of 267631363561 is 517331.

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

It can be written as a sum of positive squares in only one way, i.e., 140339395161 + 127291968400 = 374619^2 + 356780^2 .

It is not a de Polignac number, because 267631363561 - 2⁵ = 267631363529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (267631363567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14993680 + ... + 15011518.

Almost surely, 2^267631363561 is an apocalyptic number.

267631363561 is the 517331-st square number.

267631363561 is the 258666-th centered octagonal number.

It is an amenable number.

267631363561 is a deficient number, since it is larger than the sum of its proper divisors (9562436270).

267631363561 is an frugal number, since it uses more digits than its factorization.

267631363561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35736 (or 17868 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 49.

Multiplying 267631363561 by its sum of digits (49), we get a square (13113936814489 = 3621317²).

The spelling of 267631363561 in words is "two hundred sixty-seven billion, six hundred thirty-one million, three hundred sixty-three thousand, five hundred sixty-one".