52583305068 has 288 divisors, whose sum is σ = 162732810240. Its totient is φ = 13983269760.

The previous prime is 52583305067. The next prime is 52583305069. The reversal of 52583305068 is 86050338525.

52583305068 is a `hidden beast` number, since 5 + 2 + 583 + 3 + 0 + 5 + 0 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (52583305067) and next prime (52583305069).

It is not an unprimeable number, because it can be changed into a prime (52583305063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122002813 + ... + 122003243.

It is an arithmetic number, because the mean of its divisors is an integer number (565044480).

Almost surely, 2^52583305068 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 52583305068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81366405120).

52583305068 is an abundant number, since it is smaller than the sum of its proper divisors (110149505172).

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

52583305068 is a wasteful number, since it uses less digits than its factorization.

52583305068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 52583305068 in words is "fifty-two billion, five hundred eighty-three million, three hundred five thousand, sixty-eight".