10825731901504 has 189 divisors, whose sum is σ = 24724035657621. Its totient is φ = 4700053463040.

The previous prime is 10825731901463. The next prime is 10825731901507. The reversal of 10825731901504 is 40510913752801.

The square root of 10825731901504 is 3290248.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10783657687104 + 42074214400 = 3283848^2 + 205120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10825731901507) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5817157534 + ... + 5817159394.

Almost surely, 2^{10825731901504} is an apocalyptic number.

10825731901504 is the 3290248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10825731901504

10825731901504 is an abundant number, since it is smaller than the sum of its proper divisors (13898303756117).

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

10825731901504 is an frugal number, since it uses more digits than its factorization.

10825731901504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10825731901504 in words is "ten trillion, eight hundred twenty-five billion, seven hundred thirty-one million, nine hundred one thousand, five hundred four".