825826562500 has 81 divisors (see below), whose sum is σ = 1808982960519. Its totient is φ = 329876250000.

The previous prime is 825826562471. The next prime is 825826562531. The reversal of 825826562500 is 5265628528.

The square root of 825826562500 is 908750.

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

It can be written as a sum of positive squares in 4 ways, for example, as 587151322564 + 238675239936 = 766258^2 + 488544^2 .

It is a super-2 number, since 2×825826562500² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1135937137 + ... + 1135937863.

Almost surely, 2^825826562500 is an apocalyptic number.

825826562500 is the 908750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825826562500

825826562500 is an abundant number, since it is smaller than the sum of its proper divisors (983156398019).

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

825826562500 is an frugal number, since it uses more digits than its factorization.

825826562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

Multiplying 825826562500 by its sum of digits (49), we get a square (40465501562500 = 6361250²).

The spelling of 825826562500 in words is "eight hundred twenty-five billion, eight hundred twenty-six million, five hundred sixty-two thousand, five hundred".