53295124723201 has 27 divisors (see below), whose sum is σ = 56533937748129. Its totient is φ = 50234532870312.

The previous prime is 53295124723189. The next prime is 53295124723207. The reversal of 53295124723201 is 10232742159235.

The square root of 53295124723201 is 7300351.

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

It is not a de Polignac number, because 53295124723201 - 2¹⁹ = 53295124198913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53295124723207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30931586326 + ... + 30931588048.

It is an arithmetic number, because the mean of its divisors is an integer number (2093849546227).

Almost surely, 2^{53295124723201} is an apocalyptic number.

53295124723201 is the 7300351-st square number.

53295124723201 is the 3650176-th centered octagonal number.

It is an amenable number.

53295124723201 is a deficient number, since it is larger than the sum of its proper divisors (3238813024928).

53295124723201 is an frugal number, since it uses more digits than its factorization.

53295124723201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 53295124723201 in words is "fifty-three trillion, two hundred ninety-five billion, one hundred twenty-four million, seven hundred twenty-three thousand, two hundred one".