253229393191489 has 81 divisors (see below), whose sum is σ = 303278795576379. Its totient is φ = 211184488120320.

The previous prime is 253229393191441. The next prime is 253229393191501. The reversal of 253229393191489 is 984191393922352.

The square root of 253229393191489 is 15913183.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 169786502946225 + 83442890245264 = 13030215^2 + 9134708^2 .

It is not a de Polignac number, because 253229393191489 - 2⁷ = 253229393191361 is a prime.

It is a super-2 number, since 2×253229393191489² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253229393191409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 584825388217 + ... + 584825388649.

Almost surely, 2^{253229393191489} is an apocalyptic number.

253229393191489 is the 15913183-rd square number.

253229393191489 is the 7956592-nd centered octagonal number.

It is an amenable number.

253229393191489 is a deficient number, since it is larger than the sum of its proper divisors (50049402384890).

253229393191489 is an frugal number, since it uses more digits than its factorization.

253229393191489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 70.

The spelling of 253229393191489 in words is "two hundred fifty-three trillion, two hundred twenty-nine billion, three hundred ninety-three million, one hundred ninety-one thousand, four hundred eighty-nine".