25656058562761 has 45 divisors (see below), whose sum is σ = 28954966092645. Its totient is φ = 22732532328000.

The previous prime is 25656058562759. The next prime is 25656058562773. The reversal of 25656058562761 is 16726585065652.

The square root of 25656058562761 is 5065181.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5504039752761 + 20152018810000 = 2346069^2 + 4489100^2 .

It is not a de Polignac number, because 25656058562761 - 2¹ = 25656058562759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25656058562693 and 25656058562702.

It is not an unprimeable number, because it can be changed into a prime (25656058562711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25128362431 + ... + 25128363451.

Almost surely, 2^{25656058562761} is an apocalyptic number.

25656058562761 is the 5065181-st square number.

25656058562761 is the 2532591-st centered octagonal number.

It is an amenable number.

25656058562761 is a deficient number, since it is larger than the sum of its proper divisors (3298907529884).

25656058562761 is an frugal number, since it uses more digits than its factorization.

25656058562761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 64.

The spelling of 25656058562761 in words is "twenty-five trillion, six hundred fifty-six billion, fifty-eight million, five hundred sixty-two thousand, seven hundred sixty-one".