2575141632001 has 16 divisors (see below), whose sum is σ = 2653605561600. Its totient is φ = 2497878609408.

The previous prime is 2575141631969. The next prime is 2575141632017. The reversal of 2575141632001 is 1002361415752.

It is a cyclic number.

It is not a de Polignac number, because 2575141632001 - 2⁵ = 2575141631969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2575141632031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7270641 + ... + 7616593.

It is an arithmetic number, because the mean of its divisors is an integer number (165850347600).

Almost surely, 2^{2575141632001} is an apocalyptic number.

It is an amenable number.

2575141632001 is a deficient number, since it is larger than the sum of its proper divisors (78463929599).

2575141632001 is a wasteful number, since it uses less digits than its factorization.

2575141632001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347688.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 2575141632001 in words is "two trillion, five hundred seventy-five billion, one hundred forty-one million, six hundred thirty-two thousand, one".