1310745540 has 96 divisors (see below), whose sum is σ = 3967729920. Its totient is φ = 321394176.

The previous prime is 1310745517. The next prime is 1310745547. The reversal of 1310745540 is 455470131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1310745498 and 1310745507.

It is not an unprimeable number, because it can be changed into a prime (1310745547) 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, 206697 + ... + 212943.

It is an arithmetic number, because the mean of its divisors is an integer number (41330520).

Almost surely, 2^1310745540 is an apocalyptic number.

1310745540 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 1310745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983864960).

1310745540 is an abundant number, since it is smaller than the sum of its proper divisors (2656984380).

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

1310745540 is a wasteful number, since it uses less digits than its factorization.

1310745540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1310745540 is about 36204.2199197828. The cubic root of 1310745540 is about 1094.3917140277.

The spelling of 1310745540 in words is "one billion, three hundred ten million, seven hundred forty-five thousand, five hundred forty".