525253122401 has 32 divisors (see below), whose sum is σ = 635527833600. Its totient is φ = 424065559680.

The previous prime is 525253122377. The next prime is 525253122419. The reversal of 525253122401 is 104221352525.

It is not a de Polignac number, because 525253122401 - 2²⁶ = 525186013537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (525253122101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28980020 + ... + 28998138.

It is an arithmetic number, because the mean of its divisors is an integer number (19860244800).

Almost surely, 2^525253122401 is an apocalyptic number.

It is an amenable number.

525253122401 is a deficient number, since it is larger than the sum of its proper divisors (110274711199).

525253122401 is a wasteful number, since it uses less digits than its factorization.

525253122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19389.

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 525253122401 its reverse (104221352525), we get a palindrome (629474474926).

The spelling of 525253122401 in words is "five hundred twenty-five billion, two hundred fifty-three million, one hundred twenty-two thousand, four hundred one".