126901950289 has 9 divisors (see below), whose sum is σ = 127771703217. Its totient is φ = 126038085264.

The previous prime is 126901950283. The next prime is 126901950299. The reversal of 126901950289 is 982059109621.

The square root of 126901950289 is 356233.

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 64097580625 + 62804369664 = 253175^2 + 250608^2 .

It is not a de Polignac number, because 126901950289 - 2³ = 126901950281 is a prime.

It is a super-2 number, since 2×126901950289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126901950281) 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, 55927447 + ... + 55929715.

It is an arithmetic number, because the mean of its divisors is an integer number (14196855913).

Almost surely, 2^126901950289 is an apocalyptic number.

126901950289 is the 356233-rd square number.

126901950289 is the 178117-th centered octagonal number.

It is an amenable number.

126901950289 is a deficient number, since it is larger than the sum of its proper divisors (869752928).

126901950289 is an frugal number, since it uses more digits than its factorization.

126901950289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 126901950289 in words is "one hundred twenty-six billion, nine hundred one million, nine hundred fifty thousand, two hundred eighty-nine".