2581008126001 has 8 divisors (see below), whose sum is σ = 2607117375744. Its totient is φ = 2554909753200.

The previous prime is 2581008125999. The next prime is 2581008126029. The reversal of 2581008126001 is 1006218001852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2581008126001 - 2¹ = 2581008125999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2581008126041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241831 + ... + 3191836.

It is an arithmetic number, because the mean of its divisors is an integer number (325889671968).

Almost surely, 2^{2581008126001} is an apocalyptic number.

It is an amenable number.

2581008126001 is a deficient number, since it is larger than the sum of its proper divisors (26109249743).

2581008126001 is a wasteful number, since it uses less digits than its factorization.

2581008126001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438471.

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 2581008126001 in words is "two trillion, five hundred eighty-one billion, eight million, one hundred twenty-six thousand, one".