1310513325 has 48 divisors (see below), whose sum is σ = 2402530752. Its totient is φ = 624960000.

The previous prime is 1310513293. The next prime is 1310513329. The reversal of 1310513325 is 5233150131.

1310513325 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1310513325 - 2⁵ = 1310513293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310513295 and 1310513304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310513329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37305 + ... + 63345.

It is an arithmetic number, because the mean of its divisors is an integer number (50052724).

Almost surely, 2^1310513325 is an apocalyptic number.

1310513325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310513325 is a deficient number, since it is larger than the sum of its proper divisors (1092017427).

1310513325 is a wasteful number, since it uses less digits than its factorization.

1310513325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26126 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1310513325 is about 36201.0127620761. The cubic root of 1310513325 is about 1094.3270818080.

Adding to 1310513325 its reverse (5233150131), we get a palindrome (6543663456).

The spelling of 1310513325 in words is "one billion, three hundred ten million, five hundred thirteen thousand, three hundred twenty-five".