525982851072 has 448 divisors, whose sum is σ = 1802895413760. Its totient is φ = 148433928192.

The previous prime is 525982851059. The next prime is 525982851083. The reversal of 525982851072 is 270158289525.

525982851072 is a `hidden beast` number, since 5 + 2 + 59 + 8 + 2 + 8 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128505858 + ... + 128509950.

It is an arithmetic number, because the mean of its divisors is an integer number (4024320120).

Almost surely, 2^525982851072 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 525982851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901447706880).

525982851072 is an abundant number, since it is smaller than the sum of its proper divisors (1276912562688).

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

525982851072 is an equidigital number, since it uses as much as digits as its factorization.

525982851072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 525982851072 in words is "five hundred twenty-five billion, nine hundred eighty-two million, eight hundred fifty-one thousand, seventy-two".