523552505255325 has 192 divisors, whose sum is σ = 1183972167598080. Its totient is φ = 220883537191680.

The previous prime is 523552505255323. The next prime is 523552505255401.

523552505255325 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 5 + 2 + 50 + 52 + 5 + 532 + 5 = 666.

523552505255325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523552505255325 - 2¹ = 523552505255323 is a prime.

It is a super-3 number, since 3×523552505255325³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523552505255321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307689334 + ... + 309386216.

It is an arithmetic number, because the mean of its divisors is an integer number (6166521706240).

Almost surely, 2^{523552505255325} is an apocalyptic number.

It is an amenable number.

523552505255325 is an abundant number, since it is smaller than the sum of its proper divisors (660419662342755).

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

523552505255325 is a wasteful number, since it uses less digits than its factorization.

523552505255325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701945 (or 1701934 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 54.

The spelling of 523552505255325 in words is "five hundred twenty-three trillion, five hundred fifty-two billion, five hundred five million, two hundred fifty-five thousand, three hundred twenty-five".