7825825152 has 128 divisors (see below), whose sum is σ = 24455887200. Its totient is φ = 2455142400.

The previous prime is 7825825079. The next prime is 7825825157. The reversal of 7825825152 is 2515285287.

7825825152 is a `hidden beast` number, since 7 + 82 + 58 + 2 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7825825152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825825098 and 7825825107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825825157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7849 + ... + 125352.

Almost surely, 2^7825825152 is an apocalyptic number.

7825825152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227943600).

7825825152 is an abundant number, since it is smaller than the sum of its proper divisors (16630062048).

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

7825825152 is a wasteful number, since it uses less digits than its factorization.

7825825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133241 (or 133223 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 7825825152 is about 88463.6939766818. The cubic root of 7825825152 is about 1985.3788000656.

The spelling of 7825825152 in words is "seven billion, eight hundred twenty-five million, eight hundred twenty-five thousand, one hundred fifty-two".