7250285952 has 768 divisors, whose sum is σ = 27944017920. Its totient is φ = 1751777280.

The previous prime is 7250285951. The next prime is 7250285971. The reversal of 7250285952 is 2595820527.

7250285952 is a `hidden beast` number, since 7 + 2 + 50 + 2 + 8 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7250285898 and 7250285907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7250285951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74745168 + ... + 74745264.

It is an arithmetic number, because the mean of its divisors is an integer number (36385440).

Almost surely, 2^7250285952 is an apocalyptic number.

7250285952 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 7250285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972008960).

7250285952 is an abundant number, since it is smaller than the sum of its proper divisors (20693731968).

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

7250285952 is a wasteful number, since it uses less digits than its factorization.

7250285952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7250285952 is about 85148.6109810371. The cubic root of 7250285952 is about 1935.4637656096.

The spelling of 7250285952 in words is "seven billion, two hundred fifty million, two hundred eighty-five thousand, nine hundred fifty-two".