52454264563206 has 288 divisors, whose sum is σ = 134935366745088. Its totient is φ = 15130132560000.

The previous prime is 52454264563201. The next prime is 52454264563243. The reversal of 52454264563206 is 60236546245425.

52454264563206 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 4 + 264 + 56 + 320 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52454264563201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 616623916 + ... + 616708976.

It is an arithmetic number, because the mean of its divisors is an integer number (468525578976).

Almost surely, 2^{52454264563206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52454264563206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67467683372544).

52454264563206 is an abundant number, since it is smaller than the sum of its proper divisors (82481102181882).

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

52454264563206 is a wasteful number, since it uses less digits than its factorization.

52454264563206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85242 (or 85169 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 52454264563206 in words is "fifty-two trillion, four hundred fifty-four billion, two hundred sixty-four million, five hundred sixty-three thousand, two hundred six".