1311561006 has 64 divisors (see below), whose sum is σ = 3050431488. Its totient is φ = 368218368.

The previous prime is 1311560983. The next prime is 1311561007. The reversal of 1311561006 is 6001651131.

1311561006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311561007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591556 + ... + 593768.

It is an arithmetic number, because the mean of its divisors is an integer number (47662992).

Almost surely, 2^1311561006 is an apocalyptic number.

1311561006 is an abundant number, since it is smaller than the sum of its proper divisors (1738870482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311561006 is a wasteful number, since it uses less digits than its factorization.

1311561006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1311561006 is about 36215.4801983903. The cubic root of 1311561006 is about 1094.6186215895.

The spelling of 1311561006 in words is "one billion, three hundred eleven million, five hundred sixty-one thousand, six".