1267586561 has 2 divisors, whose sum is σ = 1267586562. Its totient is φ = 1267586560.

The previous prime is 1267586543. The next prime is 1267586611. The reversal of 1267586561 is 1656857621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 643586161 + 624000400 = 25369^2 + 24980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1267586561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1267286561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 633793280 + 633793281.

It is an arithmetic number, because the mean of its divisors is an integer number (633793281).

Almost surely, 2^1267586561 is an apocalyptic number.

It is an amenable number.

1267586561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1267586561 is an equidigital number, since it uses as much as digits as its factorization.

1267586561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 604800, while the sum is 47.

The square root of 1267586561 is about 35603.1818943195. The cubic root of 1267586561 is about 1082.2457160422.

The spelling of 1267586561 in words is "one billion, two hundred sixty-seven million, five hundred eighty-six thousand, five hundred sixty-one".