2565105016445 has 8 divisors (see below), whose sum is σ = 3078200620800. Its totient is φ = 2052034279120.

The previous prime is 2565105016423. The next prime is 2565105016457. The reversal of 2565105016445 is 5446105015652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2565105016445 - 2¹⁶ = 2565104950909 is a prime.

It is a super-3 number, since 3×2565105016445³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2565105016396 and 2565105016405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5989061 + ... + 6403050.

It is an arithmetic number, because the mean of its divisors is an integer number (384775077600).

Almost surely, 2^{2565105016445} is an apocalyptic number.

It is an amenable number.

2565105016445 is a deficient number, since it is larger than the sum of its proper divisors (513095604355).

2565105016445 is a wasteful number, since it uses less digits than its factorization.

2565105016445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433515.

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 2565105016445 in words is "two trillion, five hundred sixty-five billion, one hundred five million, sixteen thousand, four hundred forty-five".