1267054153225 has 81 divisors (see below), whose sum is σ = 1894565315487.
Its totient is φ = 838120805760.
The previous prime is 1267054153073. The next prime is 1267054153241. The reversal of 1267054153225 is 5223514507621.
The square root of 1267054153225 is 1125635.
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 1266928085241 + 126067984 = 1125579^2 + 11228^2
It is not a de Polignac number, because 1267054153225 - 211 = 1267054151177 is a prime.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1142518971 + ... + 1142520079.
Almost surely, 21267054153225 is an apocalyptic number.
1267054153225 is the 1125635-th square number.
1267054153225 is the 562818-th centered octagonal number.
It is an amenable number.
1267054153225 is a deficient number, since it is larger than the sum of its proper divisors (627511162262).
1267054153225 is an frugal number, since it uses more digits than its factorization.
1267054153225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2300 (or 1150 counting only the distinct ones).
The product of its (nonzero) digits is 504000, while the sum is 43.
The spelling of 1267054153225 in words is "one trillion, two hundred sixty-seven billion, fifty-four million, one hundred fifty-three thousand, two hundred twenty-five".