7529343921225 has 405 divisors, whose sum is σ = 16824109144293. Its totient is φ = 3319100064000.

The previous prime is 7529343921199. The next prime is 7529343921233. The reversal of 7529343921225 is 5221293439257.

The square root of 7529343921225 is 2743965.

It is a perfect power (a square), and thus also a powerful number.

7529343921225 is a `hidden beast` number, since 7 + 5 + 29 + 3 + 4 + 392 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10714113081 + 7518629808144 = 103509^2 + 2742012^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 7529343921225 - 2⁷ = 7529343921097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 26794818085 + ... + 26794818365.

Almost surely, 2^{7529343921225} is an apocalyptic number.

7529343921225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7529343921225 is the 2743965-th square number.

7529343921225 is the 1371983-rd centered octagonal number.

It is an amenable number.

7529343921225 is an abundant number, since it is smaller than the sum of its proper divisors (9294765223068).

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

7529343921225 is an equidigital number, since it uses as much as digits as its factorization.

7529343921225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 327 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 7529343921225 in words is "seven trillion, five hundred twenty-nine billion, three hundred forty-three million, nine hundred twenty-one thousand, two hundred twenty-five".