1267954821225 has 189 divisors, whose sum is σ = 2493597056103. Its totient is φ = 639191515680.

The previous prime is 1267954821197. The next prime is 1267954821229. The reversal of 1267954821225 is 5221284597621.

The square root of 1267954821225 is 1126035.

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

1267954821225 is a `hidden beast` number, since 1 + 2 + 6 + 79 + 548 + 2 + 1 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 456463735641 + 811491085584 = 675621^2 + 900828^2 .

It is not a de Polignac number, because 1267954821225 - 2¹⁹ = 1267954296937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1267954821229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2888279556 + ... + 2888279994.

Almost surely, 2^{1267954821225} is an apocalyptic number.

1267954821225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1267954821225 is the 1126035-th square number.

1267954821225 is the 563018-th centered octagonal number.

It is an amenable number.

1267954821225 is a deficient number, since it is larger than the sum of its proper divisors (1225642234878).

1267954821225 is an frugal number, since it uses more digits than its factorization.

1267954821225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 466 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1267954821225 in words is "one trillion, two hundred sixty-seven billion, nine hundred fifty-four million, eight hundred twenty-one thousand, two hundred twenty-five".