1305352103125 has 48 divisors (see below), whose sum is σ = 1873038117888. Its totient is φ = 891081360000.

The previous prime is 1305352103113. The next prime is 1305352103243. The reversal of 1305352103125 is 5213012535031.

It is not a de Polignac number, because 1305352103125 - 2³⁵ = 1270992364757 is a prime.

It is a super-2 number, since 2×1305352103125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4744329 + ... + 5011921.

It is an arithmetic number, because the mean of its divisors is an integer number (39021627456).

Almost surely, 2^{1305352103125} is an apocalyptic number.

It is an amenable number.

1305352103125 is a deficient number, since it is larger than the sum of its proper divisors (567686014763).

1305352103125 is an frugal number, since it uses more digits than its factorization.

1305352103125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267848 (or 267828 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 1305352103125 its reverse (5213012535031), we get a palindrome (6518364638156).

The spelling of 1305352103125 in words is "one trillion, three hundred five billion, three hundred fifty-two million, one hundred three thousand, one hundred twenty-five".