6105525782552 has 64 divisors (see below), whose sum is σ = 13260837888000. Its totient is φ = 2581200026496.

The previous prime is 6105525782513. The next prime is 6105525782561. The reversal of 6105525782552 is 2552875255016.

It is a junction number, because it is equal to n+sod(n) for n = 6105525782494 and 6105525782503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4283993 + ... + 5528439.

It is an arithmetic number, because the mean of its divisors is an integer number (207200592000).

Almost surely, 2^{6105525782552} 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 6105525782552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630418944000).

6105525782552 is an abundant number, since it is smaller than the sum of its proper divisors (7155312105448).

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

6105525782552 is a wasteful number, since it uses less digits than its factorization.

6105525782552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245648 (or 1245644 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 53.

The spelling of 6105525782552 in words is "six trillion, one hundred five billion, five hundred twenty-five million, seven hundred eighty-two thousand, five hundred fifty-two".