525341907168 has 384 divisors, whose sum is σ = 1557540762624. Its totient is φ = 153977241600.

The previous prime is 525341907163. The next prime is 525341907173. The reversal of 525341907168 is 861709143525.

It is an interprime number because it is at equal distance from previous prime (525341907163) and next prime (525341907173).

It is a self number, because there is not a number n which added to its sum of digits gives 525341907168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525341907163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832554213 + ... + 832554843.

It is an arithmetic number, because the mean of its divisors is an integer number (4056095736).

It is a 1-persistent number, because it is pandigital, but 2⋅525341907168 = 1050683814336 is not.

Almost surely, 2^525341907168 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 525341907168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778770381312).

525341907168 is an abundant number, since it is smaller than the sum of its proper divisors (1032198855456).

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

525341907168 is a wasteful number, since it uses less digits than its factorization.

525341907168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 525341907168 in words is "five hundred twenty-five billion, three hundred forty-one million, nine hundred seven thousand, one hundred sixty-eight".