25340018328769 has 81 divisors (see below), whose sum is σ = 28385286211611. Its totient is φ = 22616247513600.

The previous prime is 25340018328767. The next prime is 25340018328787. The reversal of 25340018328769 is 96782381004352.

It is a happy number.

The square root of 25340018328769 is 5033887.

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 941239530625 + 24398778798144 = 970175^2 + 4939512^2 .

It is not a de Polignac number, because 25340018328769 - 2¹ = 25340018328767 is a prime.

It is a super-2 number, since 2×25340018328769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25340018328767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 167814690844 + ... + 167814690994.

It is a 1-persistent number, because it is pandigital, but 2⋅25340018328769 = 50680036657538 is not.

Almost surely, 2^{25340018328769} is an apocalyptic number.

25340018328769 is the 5033887-th square number.

25340018328769 is the 2516944-th centered octagonal number.

It is an amenable number.

25340018328769 is a deficient number, since it is larger than the sum of its proper divisors (3045267882842).

25340018328769 is an frugal number, since it uses more digits than its factorization.

25340018328769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 25340018328769 in words is "twenty-five trillion, three hundred forty billion, eighteen million, three hundred twenty-eight thousand, seven hundred sixty-nine".