53205346506 has 64 divisors (see below), whose sum is σ = 119688508800. Its totient is φ = 15658396416.

The previous prime is 53205346489. The next prime is 53205346529. The reversal of 53205346506 is 60564350235.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14040 + ... + 326508.

It is an arithmetic number, because the mean of its divisors is an integer number (1870132950).

Almost surely, 2^53205346506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53205346506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844254400).

53205346506 is an abundant number, since it is smaller than the sum of its proper divisors (66483162294).

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

53205346506 is a wasteful number, since it uses less digits than its factorization.

53205346506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312583.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 53205346506 in words is "fifty-three billion, two hundred five million, three hundred forty-six thousand, five hundred six".