52123022032125 has 192 divisors, whose sum is σ = 96827682631680. Its totient is φ = 24877006000000.

The previous prime is 52123022032093. The next prime is 52123022032153.

It is a happy number.

52123022032125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52123022032125 - 2⁵ = 52123022032093 is a prime.

It is a super-2 number, since 2×52123022032125² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52123022032092 and 52123022032101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2123038600 + ... + 2123063150.

It is an arithmetic number, because the mean of its divisors is an integer number (504310847040).

Almost surely, 2^{52123022032125} is an apocalyptic number.

52123022032125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52123022032125 is a deficient number, since it is larger than the sum of its proper divisors (44704660599555).

52123022032125 is a wasteful number, since it uses less digits than its factorization.

52123022032125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25321 (or 25300 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 5212302 and 2032125, that added together give a palindrome (7244427).

The spelling of 52123022032125 in words is "fifty-two trillion, one hundred twenty-three billion, twenty-two million, thirty-two thousand, one hundred twenty-five".