652475505574256 has 320 divisors, whose sum is σ = 1600660004536320. Its totient is φ = 250831401200640.

The previous prime is 652475505574247. The next prime is 652475505574271.

652475505574256 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×652475505574256³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930969001 + ... + 1931306871.

It is an arithmetic number, because the mean of its divisors is an integer number (5002062514176).

Almost surely, 2^{652475505574256} 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 652475505574256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800330002268160).

652475505574256 is an abundant number, since it is smaller than the sum of its proper divisors (948184498962064).

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

652475505574256 is a wasteful number, since it uses less digits than its factorization.

652475505574256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338244 (or 338238 counting only the distinct ones).

The product of its (nonzero) digits is 1764000000, while the sum is 68.

The spelling of 652475505574256 in words is "six hundred fifty-two trillion, four hundred seventy-five billion, five hundred five million, five hundred seventy-four thousand, two hundred fifty-six".