52253311335225 has 288 divisors, whose sum is σ = 116967676089600. Its totient is φ = 20029124966400.

The previous prime is 52253311335163. The next prime is 52253311335229.

52253311335225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52253311335225 - 2¹² = 52253311331129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52253311335229) 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, 1054553751 + ... + 1054603299.

It is an arithmetic number, because the mean of its divisors is an integer number (406137764200).

Almost surely, 2^{52253311335225} is an apocalyptic number.

52253311335225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52253311335225 is an abundant number, since it is smaller than the sum of its proper divisors (64714364754375).

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

52253311335225 is a wasteful number, since it uses less digits than its factorization.

52253311335225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50881 (or 50865 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

The spelling of 52253311335225 in words is "fifty-two trillion, two hundred fifty-three billion, three hundred eleven million, three hundred thirty-five thousand, two hundred twenty-five".