53122144325 has 24 divisors (see below), whose sum is σ = 67614399336. Its totient is φ = 41387040000.

The previous prime is 53122144307. The next prime is 53122144331. The reversal of 53122144325 is 52344122135.

It can be written as a sum of positive squares in 12 ways, for example, as 1731974689 + 51390169636 = 41617^2 + 226694^2 .

It is not a de Polignac number, because 53122144325 - 2⁶ = 53122144261 is a prime.

It is a super-2 number, since 2×53122144325² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53122144291 and 53122144300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18422 + ... + 326471.

It is an arithmetic number, because the mean of its divisors is an integer number (2817266639).

Almost surely, 2^53122144325 is an apocalyptic number.

It is an amenable number.

53122144325 is a deficient number, since it is larger than the sum of its proper divisors (14492255011).

53122144325 is a wasteful number, since it uses less digits than its factorization.

53122144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345065 (or 345060 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The spelling of 53122144325 in words is "fifty-three billion, one hundred twenty-two million, one hundred forty-four thousand, three hundred twenty-five".