2531210121352 has 96 divisors (see below), whose sum is σ = 5233876179840. Its totient is φ = 1146767529600.

The previous prime is 2531210121343. The next prime is 2531210121437.

2531210121352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2531210121352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475520563 + ... + 475525885.

It is an arithmetic number, because the mean of its divisors is an integer number (54519543540).

Almost surely, 2^{2531210121352} is an apocalyptic number.

2531210121352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531210121352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616938089920).

2531210121352 is an abundant number, since it is smaller than the sum of its proper divisors (2702666058488).

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

2531210121352 is a wasteful number, since it uses less digits than its factorization.

2531210121352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 2531210 and 121352, that added together give a palindrome (2652562).

The spelling of 2531210121352 in words is "two trillion, five hundred thirty-one billion, two hundred ten million, one hundred twenty-one thousand, three hundred fifty-two".