525229414164 has 648 divisors, whose sum is σ = 1819246593528. Its totient is φ = 126804787200.

The previous prime is 525229414159. The next prime is 525229414189. The reversal of 525229414164 is 461414922525.

525229414164 is a `hidden beast` number, since 5 + 2 + 5 + 229 + 4 + 1 + 416 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 80729856900 + 444499557264 = 284130^2 + 666708^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (691200) is a multiple of the sum of its prime divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 187513564 + ... + 187516364.

It is an arithmetic number, because the mean of its divisors is an integer number (2807479311).

Almost surely, 2^525229414164 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 525229414164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909623296764).

525229414164 is an abundant number, since it is smaller than the sum of its proper divisors (1294017179364).

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

525229414164 is a wasteful number, since it uses less digits than its factorization.

525229414164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2880 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 525229414164 in words is "five hundred twenty-five billion, two hundred twenty-nine million, four hundred fourteen thousand, one hundred sixty-four".