2580753000753 has 6 divisors (see below), whose sum is σ = 3727754334434. Its totient is φ = 1720502000496.

The previous prime is 2580753000673. The next prime is 2580753000773. The reversal of 2580753000753 is 3570003570852.

It can be written as a sum of positive squares in only one way, i.e., 2408849890209 + 171903110544 = 1552047^2 + 414612^2 .

It is not a de Polignac number, because 2580753000753 - 2¹⁸ = 2580752738609 is a prime.

It is a super-3 number, since 3×2580753000753³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2580753000699 and 2580753000708.

It is not an unprimeable number, because it can be changed into a prime (2580753000773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143375166700 + ... + 143375166717.

Almost surely, 2^{2580753000753} is an apocalyptic number.

It is an amenable number.

2580753000753 is a deficient number, since it is larger than the sum of its proper divisors (1147001333681).

2580753000753 is a wasteful number, since it uses less digits than its factorization.

2580753000753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286750333423 (or 286750333420 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 2580753000753 in words is "two trillion, five hundred eighty billion, seven hundred fifty-three million, seven hundred fifty-three", and thus it is an aban number.