1311287461 has 32 divisors (see below), whose sum is σ = 1531716480. Its totient is φ = 1111219200.

The previous prime is 1311287459. The next prime is 1311287479. The reversal of 1311287461 is 1647821131.

It is a cyclic number.

It is not a de Polignac number, because 1311287461 - 2¹ = 1311287459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311287561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398985 + ... + 1399921.

It is an arithmetic number, because the mean of its divisors is an integer number (47866140).

Almost surely, 2^1311287461 is an apocalyptic number.

1311287461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311287461 is a deficient number, since it is larger than the sum of its proper divisors (220429019).

1311287461 is a wasteful number, since it uses less digits than its factorization.

1311287461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125.

The product of its digits is 8064, while the sum is 34.

The square root of 1311287461 is about 36211.7033705955. The cubic root of 1311287461 is about 1094.5425167880.

The spelling of 1311287461 in words is "one billion, three hundred eleven million, two hundred eighty-seven thousand, four hundred sixty-one".