53205306301 has 32 divisors (see below), whose sum is σ = 66922444800. Its totient is φ = 41243463360.

The previous prime is 53205306289. The next prime is 53205306307. The reversal of 53205306301 is 10360350235.

53205306301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 53205306301 - 2⁵ = 53205306269 is a prime.

It is a super-3 number, since 3×53205306301³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53205306301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53205306307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539946 + ... + 1574116.

It is an arithmetic number, because the mean of its divisors is an integer number (2091326400).

Almost surely, 2^53205306301 is an apocalyptic number.

It is an amenable number.

53205306301 is a deficient number, since it is larger than the sum of its proper divisors (13717138499).

53205306301 is a wasteful number, since it uses less digits than its factorization.

53205306301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34729.

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 53205306301 its reverse (10360350235), we get a palindrome (63565656536).

The spelling of 53205306301 in words is "fifty-three billion, two hundred five million, three hundred six thousand, three hundred one".