2565262625652 has 96 divisors (see below), whose sum is σ = 6823121141760. Its totient is φ = 833020524000.

The previous prime is 2565262625603. The next prime is 2565262625669.

2565262625652 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 2 + 6 + 2 + 625 + 6 + 5 + 2 = 666.

2565262625652 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1057527 + ... + 2499777.

It is an arithmetic number, because the mean of its divisors is an integer number (71074178560).

Almost surely, 2^{2565262625652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565262625652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411560570880).

2565262625652 is an abundant number, since it is smaller than the sum of its proper divisors (4257858516108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2565262625652 is a wasteful number, since it uses less digits than its factorization.

2565262625652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442690 (or 1442682 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 2565262625652 in words is "two trillion, five hundred sixty-five billion, two hundred sixty-two million, six hundred twenty-five thousand, six hundred fifty-two".