525193054020 has 216 divisors, whose sum is σ = 1742974315992. Its totient is φ = 127560407040.

The previous prime is 525193054013. The next prime is 525193054049. The reversal of 525193054020 is 20450391525.

It is a happy number.

525193054020 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 93 + 0 + 540 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62771293764 + 462421760256 = 250542^2 + 680016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2851362 + ... + 3029958.

It is an arithmetic number, because the mean of its divisors is an integer number (8069325537).

Almost surely, 2^525193054020 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 525193054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871487157996).

525193054020 is an abundant number, since it is smaller than the sum of its proper divisors (1217781261972).

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

525193054020 is a wasteful number, since it uses less digits than its factorization.

525193054020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178691 (or 178655 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 525193054020 in words is "five hundred twenty-five billion, one hundred ninety-three million, fifty-four thousand, twenty".