5253210123525 has 288 divisors, whose sum is σ = 11643159790080. Its totient is φ = 2204764323840.

The previous prime is 5253210123493. The next prime is 5253210123527.

5253210123525 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 2 + 1 + 0 + 123 + 525 = 666.

5253210123525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5253210123525 - 2⁵ = 5253210123493 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5253210123525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5253210123527) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5376877837 + ... + 5376878813.

It is an arithmetic number, because the mean of its divisors is an integer number (40427638160).

Almost surely, 2^{5253210123525} is an apocalyptic number.

It is an amenable number.

5253210123525 is an abundant number, since it is smaller than the sum of its proper divisors (6389949666555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5253210123525 is a wasteful number, since it uses less digits than its factorization.

5253210123525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 5253210 and 123525, that added together give a palindrome (5376735).

The spelling of 5253210123525 in words is "five trillion, two hundred fifty-three billion, two hundred ten million, one hundred twenty-three thousand, five hundred twenty-five".