6285506052 has 192 divisors, whose sum is σ = 18402048000. Its totient is φ = 1629186048.

The previous prime is 6285506039. The next prime is 6285506053. The reversal of 6285506052 is 2506055826.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6285506052.

It is not an unprimeable number, because it can be changed into a prime (6285506053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6432988 + ... + 6433964.

It is an arithmetic number, because the mean of its divisors is an integer number (95844000).

Almost surely, 2^6285506052 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 6285506052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201024000).

6285506052 is an abundant number, since it is smaller than the sum of its proper divisors (12116541948).

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

6285506052 is a wasteful number, since it uses less digits than its factorization.

6285506052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 6285506052 is about 79281.1834674534. The cubic root of 6285506052 is about 1845.4973091150.

The spelling of 6285506052 in words is "six billion, two hundred eighty-five million, five hundred six thousand, fifty-two".