2582513280401 has 4 divisors (see below), whose sum is σ = 2606206062900. Its totient is φ = 2558820497904.

The previous prime is 2582513280397. The next prime is 2582513280427. The reversal of 2582513280401 is 1040823152852.

2582513280401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1607020²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1799997889600 + 782515390801 = 1341640^2 + 884599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582513280401 - 2² = 2582513280397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2582513480401) 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 3 ways as a sum of consecutive naturals, for example, 11846391086 + ... + 11846391303.

It is an arithmetic number, because the mean of its divisors is an integer number (651551515725).

Almost surely, 2^{2582513280401} is an apocalyptic number.

It is an amenable number.

2582513280401 is a deficient number, since it is larger than the sum of its proper divisors (23692782499).

2582513280401 is a wasteful number, since it uses less digits than its factorization.

2582513280401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23692782498.

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 2582513280401 in words is "two trillion, five hundred eighty-two billion, five hundred thirteen million, two hundred eighty thousand, four hundred one".