2728075252501 has 16 divisors (see below), whose sum is σ = 2907514200240. Its totient is φ = 2550792499200.

The previous prime is 2728075252453. The next prime is 2728075252537. The reversal of 2728075252501 is 1052525708272.

It can be written as a sum of positive squares in 8 ways, for example, as 282758062500 + 2445317190001 = 531750^2 + 1563751^2 .

It is not a de Polignac number, because 2728075252501 - 2¹³ = 2728075244309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728075259501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012401 + ... + 2545801.

It is an arithmetic number, because the mean of its divisors is an integer number (181719637515).

Almost surely, 2^{2728075252501} is an apocalyptic number.

It is an amenable number.

2728075252501 is a deficient number, since it is larger than the sum of its proper divisors (179438947739).

2728075252501 is a wasteful number, since it uses less digits than its factorization.

2728075252501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534104.

The product of its (nonzero) digits is 784000, while the sum is 46.

The spelling of 2728075252501 in words is "two trillion, seven hundred twenty-eight billion, seventy-five million, two hundred fifty-two thousand, five hundred one".