525984661504 has 51 divisors (see below), whose sum is σ = 1052332752333. Its totient is φ = 262899499008.

The previous prime is 525984661493. The next prime is 525984661523. The reversal of 525984661504 is 405166489525.

It is a happy number.

The square root of 525984661504 is 725248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 206479360000 + 319505301504 = 454400^2 + 565248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 185662072 + ... + 185664904.

Almost surely, 2^525984661504 is an apocalyptic number.

525984661504 is the 725248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525984661504

525984661504 is an abundant number, since it is smaller than the sum of its proper divisors (526348090829).

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

525984661504 is an frugal number, since it uses more digits than its factorization.

525984661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 525984661504 in words is "five hundred twenty-five billion, nine hundred eighty-four million, six hundred sixty-one thousand, five hundred four".