25312211221352 has 128 divisors (see below), whose sum is σ = 54916218051840. Its totient is φ = 10809871994880.

The previous prime is 25312211221333. The next prime is 25312211221421.

25312211221352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5190116738 + ... + 5190121614.

It is an arithmetic number, because the mean of its divisors is an integer number (429032953530).

Almost surely, 2^{25312211221352} is an apocalyptic number.

25312211221352 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 25312211221352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27458109025920).

25312211221352 is an abundant number, since it is smaller than the sum of its proper divisors (29604006830488).

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

25312211221352 is a wasteful number, since it uses less digits than its factorization.

25312211221352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10247 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 2531221 and 1221352, that added together give a palindrome (3752573).

The spelling of 25312211221352 in words is "twenty-five trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred fifty-two".