1001310345525 has 24 divisors (see below), whose sum is σ = 1891999739584. Its totient is φ = 457741872000.

The previous prime is 1001310345493. The next prime is 1001310345569. The reversal of 1001310345525 is 5255430131001.

It is not a de Polignac number, because 1001310345525 - 2⁵ = 1001310345493 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001310345492 and 1001310345501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953628376 + ... + 953629425.

Almost surely, 2^{1001310345525} is an apocalyptic number.

1001310345525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001310345525 is a deficient number, since it is larger than the sum of its proper divisors (890689394059).

1001310345525 is a wasteful number, since it uses less digits than its factorization.

1001310345525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907257821 (or 1907257816 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 1001310345525 its reverse (5255430131001), we get a palindrome (6256740476526).

The spelling of 1001310345525 in words is "one trillion, one billion, three hundred ten million, three hundred forty-five thousand, five hundred twenty-five".