1267310561 has 24 divisors (see below), whose sum is σ = 1422150912. Its totient is φ = 1128204000.

The previous prime is 1267310489. The next prime is 1267310573. The reversal of 1267310561 is 1650137621.

It is not a de Polignac number, because 1267310561 - 2¹⁴ = 1267294177 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1267310591) 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 23 ways as a sum of consecutive naturals, for example, 1807511 + ... + 1808211.

It is an arithmetic number, because the mean of its divisors is an integer number (59256288).

Almost surely, 2^1267310561 is an apocalyptic number.

1267310561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1267310561 is a deficient number, since it is larger than the sum of its proper divisors (154840351).

1267310561 is a wasteful number, since it uses less digits than its factorization.

1267310561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1267310561 is about 35599.3056252506. The cubic root of 1267310561 is about 1082.1671621697.

The spelling of 1267310561 in words is "one billion, two hundred sixty-seven million, three hundred ten thousand, five hundred sixty-one".