1725263117311 has 16 divisors (see below), whose sum is σ = 1767998897280. Its totient is φ = 1682647414560.

The previous prime is 1725263117293. The next prime is 1725263117329. The reversal of 1725263117311 is 1137113625271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1725263117293) and next prime (1725263117329).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1725263117311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1725263117341) 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, 180859380 + ... + 180868918.

It is an arithmetic number, because the mean of its divisors is an integer number (110499931080).

Almost surely, 2^{1725263117311} is an apocalyptic number.

1725263117311 is a deficient number, since it is larger than the sum of its proper divisors (42735779969).

1725263117311 is an equidigital number, since it uses as much as digits as its factorization.

1725263117311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366.

The product of its digits is 52920, while the sum is 40.

The spelling of 1725263117311 in words is "one trillion, seven hundred twenty-five billion, two hundred sixty-three million, one hundred seventeen thousand, three hundred eleven".