29826507663225 has 243 divisors, whose sum is σ = 67309544927079. Its totient is φ = 12582984960000.

The previous prime is 29826507663167. The next prime is 29826507663241. The reversal of 29826507663225 is 52236670562892.

The square root of 29826507663225 is 5461365.

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

29826507663225 is a `hidden beast` number, since 2 + 98 + 2 + 6 + 507 + 6 + 6 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 26677359290169 + 3149148373056 = 5165013^2 + 1774584^2 .

It is not a de Polignac number, because 29826507663225 - 2⁹ = 29826507662713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7454761225 + ... + 7454765225.

Almost surely, 2^{29826507663225} is an apocalyptic number.

29826507663225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29826507663225 is the 5461365-th square number.

29826507663225 is the 2730683-rd centered octagonal number.

It is an amenable number.

29826507663225 is an abundant number, since it is smaller than the sum of its proper divisors (37483037263854).

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

29826507663225 is an equidigital number, since it uses as much as digits as its factorization.

29826507663225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 29826507663225 in words is "twenty-nine trillion, eight hundred twenty-six billion, five hundred seven million, six hundred sixty-three thousand, two hundred twenty-five".