53548660113025 has 243 divisors, whose sum is σ = 86313637528713. Its totient is φ = 32834790172800.

The previous prime is 53548660112993. The next prime is 53548660113037. The reversal of 53548660113025 is 52031106684535.

The square root of 53548660113025 is 7317695.

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

53548660113025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7308333712449 + 46240326400576 = 2703393^2 + 6800024^2 .

It is not a de Polignac number, because 53548660113025 - 2⁵ = 53548660112993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 53548660113025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 233836943611 + ... + 233836943839.

Almost surely, 2^{53548660113025} is an apocalyptic number.

53548660113025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53548660113025 is the 7317695-th square number.

53548660113025 is the 3658848-th centered octagonal number.

It is an amenable number.

53548660113025 is a deficient number, since it is larger than the sum of its proper divisors (32764977415688).

53548660113025 is an equidigital number, since it uses as much as digits as its factorization.

53548660113025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

53548660113025 divided by its sum of digits (49) gives a square (1092829798225 = 1045385²).

The spelling of 53548660113025 in words is "fifty-three trillion, five hundred forty-eight billion, six hundred sixty million, one hundred thirteen thousand, twenty-five".