7529905152 has 616 divisors, whose sum is σ = 28351965312. Its totient is φ = 1940889600.

The previous prime is 7529905151. The next prime is 7529905211. The reversal of 7529905152 is 2515099257.

It is a tau number, because it is divible by the number of its divisors (616).

It is a super-2 number, since 2×7529905152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7529905098 and 7529905107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7529905151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57480127 + ... + 57480257.

Almost surely, 2^7529905152 is an apocalyptic number.

7529905152 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 7529905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175982656).

7529905152 is an abundant number, since it is smaller than the sum of its proper divisors (20822060160).

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

7529905152 is a wasteful number, since it uses less digits than its factorization.

7529905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 7529905152 is about 86775.0260846979. The cubic root of 7529905152 is about 1960.0320305747.

The spelling of 7529905152 in words is "seven billion, five hundred twenty-nine million, nine hundred five thousand, one hundred fifty-two".