1311554540 has 48 divisors (see below), whose sum is σ = 2845910592. Its totient is φ = 507338496.

The previous prime is 1311554513. The next prime is 1311554549. The reversal of 1311554540 is 454551131.

It is a super-2 number, since 2×1311554540² = 3440350622789223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311554549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118274 + ... + 128886.

It is an arithmetic number, because the mean of its divisors is an integer number (59289804).

Almost surely, 2^1311554540 is an apocalyptic number.

1311554540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311554540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422955296).

1311554540 is an abundant number, since it is smaller than the sum of its proper divisors (1534356052).

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

1311554540 is a wasteful number, since it uses less digits than its factorization.

1311554540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 1311554540 is about 36215.3909270630. The cubic root of 1311554540 is about 1094.6168227621.

The spelling of 1311554540 in words is "one billion, three hundred eleven million, five hundred fifty-four thousand, five hundred forty".