53139653193025 has 27 divisors (see below), whose sum is σ = 76651606551369. Its totient is φ = 36438444379680.

The previous prime is 53139653192971. The next prime is 53139653193037. The reversal of 53139653193025 is 52039135693135.

The square root of 53139653193025 is 7289695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30309528257281 + 22830124935744 = 5505409^2 + 4778088^2 .

It is not a de Polignac number, because 53139653193025 - 2¹¹ = 53139653190977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 255035187 + ... + 255243463.

Almost surely, 2^{53139653193025} is an apocalyptic number.

53139653193025 is the 7289695-th square number.

53139653193025 is the 3644848-th centered octagonal number.

It is an amenable number.

53139653193025 is a deficient number, since it is larger than the sum of its proper divisors (23511953358344).

53139653193025 is an frugal number, since it uses more digits than its factorization.

53139653193025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416578 (or 208289 counting only the distinct ones).

The product of its (nonzero) digits is 9841500, while the sum is 55.

The spelling of 53139653193025 in words is "fifty-three trillion, one hundred thirty-nine billion, six hundred fifty-three million, one hundred ninety-three thousand, twenty-five".