2001305504125 has 32 divisors (see below), whose sum is σ = 2584006869600. Its totient is φ = 1545684940800.

The previous prime is 2001305504071. The next prime is 2001305504137. The reversal of 2001305504125 is 5214055031002.

It can be written as a sum of positive squares in 16 ways, for example, as 1559616331716 + 441689172409 = 1248846^2 + 664597^2 .

It is not a de Polignac number, because 2001305504125 - 2³⁷ = 1863866550653 is a prime.

It is a super-3 number, since 3×2001305504125³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001305504093 and 2001305504102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49747519 + ... + 49787731.

It is an arithmetic number, because the mean of its divisors is an integer number (80750214675).

Almost surely, 2^{2001305504125} is an apocalyptic number.

2001305504125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2001305504125 is a deficient number, since it is larger than the sum of its proper divisors (582701365475).

2001305504125 is a wasteful number, since it uses less digits than its factorization.

2001305504125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53986 (or 53976 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 2001305504125 in words is "two trillion, one billion, three hundred five million, five hundred four thousand, one hundred twenty-five".