2005011520525 has 48 divisors (see below), whose sum is σ = 2695208495616. Its totient is φ = 1470818891520.

The previous prime is 2005011520493. The next prime is 2005011520531. The reversal of 2005011520525 is 5250251105002.

It is not a de Polignac number, because 2005011520525 - 2⁵ = 2005011520493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005011520493 and 2005011520502.

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, 123582564 + ... + 123598786.

It is an arithmetic number, because the mean of its divisors is an integer number (56150176992).

Almost surely, 2^{2005011520525} is an apocalyptic number.

2005011520525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005011520525 is a deficient number, since it is larger than the sum of its proper divisors (690196975091).

2005011520525 is a wasteful number, since it uses less digits than its factorization.

2005011520525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18742 (or 18737 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

Adding to 2005011520525 its reverse (5250251105002), we get a palindrome (7255262625527).

The spelling of 2005011520525 in words is "two trillion, five billion, eleven million, five hundred twenty thousand, five hundred twenty-five".