5825121444 has 72 divisors (see below), whose sum is σ = 14986625472. Its totient is φ = 1907357760.

The previous prime is 5825121443. The next prime is 5825121461. The reversal of 5825121444 is 4441215285.

5825121444 is a `hidden beast` number, since 582 + 51 + 21 + 4 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5825121399 and 5825121408.

It is not an unprimeable number, because it can be changed into a prime (5825121443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719322 + ... + 727374.

It is an arithmetic number, because the mean of its divisors is an integer number (208147576).

Almost surely, 2^5825121444 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 5825121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493312736).

5825121444 is an abundant number, since it is smaller than the sum of its proper divisors (9161504028).

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

5825121444 is a wasteful number, since it uses less digits than its factorization.

5825121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8412 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5825121444 is about 76322.4832143190. The cubic root of 5825121444 is about 1799.2920512264.

The spelling of 5825121444 in words is "five billion, eight hundred twenty-five million, one hundred twenty-one thousand, four hundred forty-four".