1067263561 has 27 divisors (see below), whose sum is σ = 1348112871. Its totient is φ = 842076144.

The previous prime is 1067263543. The next prime is 1067263583. The reversal of 1067263561 is 1653627601.

The square root of 1067263561 is 32669.

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., 157879225 + 909384336 = 12565^2 + 30156^2 .

It is not a de Polignac number, because 1067263561 - 2⁵ = 1067263529 is a prime.

It is a super-2 number, since 2×1067263561² = 2278103017276801442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1067263561.

It is not an unprimeable number, because it can be changed into a prime (1067263501) 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 26 ways as a sum of consecutive naturals, for example, 2972700 + ... + 2973058.

Almost surely, 2^1067263561 is an apocalyptic number.

1067263561 is the 32669-th square number.

1067263561 is the 16335-th centered octagonal number.

It is an amenable number.

1067263561 is a deficient number, since it is larger than the sum of its proper divisors (280849310).

1067263561 is an frugal number, since it uses more digits than its factorization.

1067263561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 1067263561 is about 1021.9364600517.

It can be divided in two parts, 1067 and 263561, that added together give a triangular number (264628 = T₇₂₇).

The spelling of 1067263561 in words is "one billion, sixty-seven million, two hundred sixty-three thousand, five hundred sixty-one".