53832288028401 has 27 divisors (see below), whose sum is σ = 80347995683787. Its totient is φ = 34730068182480.

The previous prime is 53832288028331. The next prime is 53832288028423. The reversal of 53832288028401 is 10482088223835.

The square root of 53832288028401 is 7337049.

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

53832288028401 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 228 + 8 + 0 + 2 + 8 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20872334390625 + 32959953637776 = 4568625^2 + 5741076^2 .

It is not a de Polignac number, because 53832288028401 - 2³⁵ = 53797928290033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53832288028201) 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, 682306111 + ... + 682385003.

Almost surely, 2^{53832288028401} is an apocalyptic number.

53832288028401 is the 7337049-th square number.

53832288028401 is the 3668525-th centered octagonal number.

It is an amenable number.

53832288028401 is a deficient number, since it is larger than the sum of its proper divisors (26515707655386).

53832288028401 is an frugal number, since it uses more digits than its factorization.

53832288028401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157854 (or 78927 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 53832288028401 in words is "fifty-three trillion, eight hundred thirty-two billion, two hundred eighty-eight million, twenty-eight thousand, four hundred one".