2526525001 has 32 divisors (see below), whose sum is σ = 3475051776. Its totient is φ = 1772928000.

The previous prime is 2526524971. The next prime is 2526525011. The reversal of 2526525001 is 1005256252.

It is a 4-Lehmer number, since φ(2526525001) divides (2526525001-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 2526525001 - 2⁹ = 2526524489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2526525011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10261 + ... + 71821.

It is an arithmetic number, because the mean of its divisors is an integer number (108595368).

It is a Poulet number, since it divides 2^2526525000-1.

Almost surely, 2^2526525001 is an apocalyptic number.

2526525001 is the 41041-st pentagonal number.

It is an amenable number.

2526525001 is a deficient number, since it is larger than the sum of its proper divisors (948526775).

2526525001 is a wasteful number, since it uses less digits than its factorization.

2526525001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61633.

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

The square root of 2526525001 is about 50264.5501422225. The cubic root of 2526525001 is about 1361.9919270080.

The spelling of 2526525001 in words is "two billion, five hundred twenty-six million, five hundred twenty-five thousand, one".