252914219338729 has 9 divisors (see below), whose sum is σ = 273865916999493. Its totient is φ = 233459088550272.

The previous prime is 252914219338721. The next prime is 252914219338733. The reversal of 252914219338729 is 927833912419252.

The square root of 252914219338729 is 15903277.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23238618216025 + 229675601122704 = 4820645^2 + 15155052^2 .

It is not a de Polignac number, because 252914219338729 - 2³ = 252914219338721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252914219338721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206130937 + ... + 207354265.

It is an arithmetic number, because the mean of its divisors is an integer number (30429546333277).

Almost surely, 2^{252914219338729} is an apocalyptic number.

252914219338729 is the 15903277-th square number.

252914219338729 is the 7951639-th centered octagonal number.

It is an amenable number.

252914219338729 is a deficient number, since it is larger than the sum of its proper divisors (20951697660764).

252914219338729 is an frugal number, since it uses more digits than its factorization.

252914219338729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446684 (or 1223342 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 67.

The spelling of 252914219338729 in words is "two hundred fifty-two trillion, nine hundred fourteen billion, two hundred nineteen million, three hundred thirty-eight thousand, seven hundred twenty-nine".