2753293083025 has 27 divisors (see below), whose sum is σ = 3429180045619. Its totient is φ = 2192937488000.

The previous prime is 2753293082933. The next prime is 2753293083029. The reversal of 2753293083025 is 5203803923572.

The square root of 2753293083025 is 1659305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 174236951889 + 2579056131136 = 417417^2 + 1605944^2 .

It is not a de Polignac number, because 2753293083025 - 2²¹ = 2753290985873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2753293083025.

It is not an unprimeable number, because it can be changed into a prime (2753293083029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2331322935 + ... + 2331324115.

Almost surely, 2^{2753293083025} is an apocalyptic number.

2753293083025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2753293083025 is the 1659305-th square number.

2753293083025 is the 829653-rd centered octagonal number.

It is an amenable number.

2753293083025 is a deficient number, since it is larger than the sum of its proper divisors (675886962594).

2753293083025 is an frugal number, since it uses more digits than its factorization.

2753293083025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 2753293083025 by its sum of digits (49), we get a square (134911361068225 = 11615135²).

The spelling of 2753293083025 in words is "two trillion, seven hundred fifty-three billion, two hundred ninety-three million, eighty-three thousand, twenty-five".