126353179120249 has 27 divisors (see below), whose sum is σ = 131006767292271. Its totient is φ = 121860802440720.

The previous prime is 126353179120237. The next prime is 126353179120253. The reversal of 126353179120249 is 942021971353621.

The square root of 126353179120249 is 11240693.

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

It can be written as a sum of positive squares in only one way, i.e., 78059963874025 + 48293215246224 = 8835155^2 + 6949332^2 .

It is not a de Polignac number, because 126353179120249 - 2²⁵ = 126353145565817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126353179120249.

It is not an unprimeable number, because it can be changed into a prime (126353179120219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166913049979 + ... + 166913050735.

Almost surely, 2^{126353179120249} is an apocalyptic number.

126353179120249 is the 11240693-rd square number.

126353179120249 is the 5620347-th centered octagonal number.

It is an amenable number.

126353179120249 is a deficient number, since it is larger than the sum of its proper divisors (4653588172022).

126353179120249 is an frugal number, since it uses more digits than its factorization.

126353179120249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 126353179120249 in words is "one hundred twenty-six trillion, three hundred fifty-three billion, one hundred seventy-nine million, one hundred twenty thousand, two hundred forty-nine".