2005524537 has 32 divisors (see below), whose sum is σ = 2942438400. Its totient is φ = 1209396672.

The previous prime is 2005524533. The next prime is 2005524539. The reversal of 2005524537 is 7354255002.

2005524537 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 2005524537 - 2² = 2005524533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005524498 and 2005524507.

It is not an unprimeable number, because it can be changed into a prime (2005524533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012414 + ... + 1014392.

It is an arithmetic number, because the mean of its divisors is an integer number (91951200).

Almost surely, 2^2005524537 is an apocalyptic number.

It is an amenable number.

2005524537 is a deficient number, since it is larger than the sum of its proper divisors (936913863).

2005524537 is a wasteful number, since it uses less digits than its factorization.

2005524537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797.

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 2005524537 is about 44783.0831564777. The cubic root of 2005524537 is about 1261.0800634564.

Adding to 2005524537 its reverse (7354255002), we get a palindrome (9359779539).

The spelling of 2005524537 in words is "two billion, five million, five hundred twenty-four thousand, five hundred thirty-seven".