1310613504 has 112 divisors (see below), whose sum is σ = 3701509488. Its totient is φ = 411041792.

The previous prime is 1310613497. The next prime is 1310613511. The reversal of 1310613504 is 4053160131.

It is an interprime number because it is at equal distance from previous prime (1310613497) and next prime (1310613511).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416224 + ... + 419360.

Almost surely, 2^1310613504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850754744).

1310613504 is an abundant number, since it is smaller than the sum of its proper divisors (2390895984).

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

1310613504 is an equidigital number, since it uses as much as digits as its factorization.

1310613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1310613504 is about 36202.3963847699. The cubic root of 1310613504 is about 1094.3549654872.

Adding to 1310613504 its reverse (4053160131), we get a palindrome (5363773635).

The spelling of 1310613504 in words is "one billion, three hundred ten million, six hundred thirteen thousand, five hundred four".