5825265264 has 240 divisors, whose sum is σ = 20758046400. Its totient is φ = 1483259904.

The previous prime is 5825265241. The next prime is 5825265301. The reversal of 5825265264 is 4625625285.

It is a happy number.

5825265264 is a `hidden beast` number, since 582 + 5 + 2 + 6 + 5 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372352 + ... + 387680.

It is an arithmetic number, because the mean of its divisors is an integer number (86491860).

Almost surely, 2^5825265264 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 5825265264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379023200).

5825265264 is an abundant number, since it is smaller than the sum of its proper divisors (14932781136).

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

5825265264 is a wasteful number, since it uses less digits than its factorization.

5825265264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15383 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 5825265264 is about 76323.4253948288. The cubic root of 5825265264 is about 1799.3068590466.

The spelling of 5825265264 in words is "five billion, eight hundred twenty-five million, two hundred sixty-five thousand, two hundred sixty-four".