1267887260025 has 81 divisors (see below), whose sum is σ = 2287596047373. Its totient is φ = 671279140800.

The previous prime is 1267887260011. The next prime is 1267887260039. The reversal of 1267887260025 is 5200627887621.

The square root of 1267887260025 is 1126005.

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

1267887260025 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 8 + 7 + 2 + 600 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1267887260011) and next prime (1267887260039).

It can be written as a sum of positive squares in 4 ways, for example, as 290541482361 + 977345777664 = 539019^2 + 988608^2 .

It is not a de Polignac number, because 1267887260025 - 2¹⁹ = 1267886735737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4577210187 + ... + 4577210463.

Almost surely, 2^{1267887260025} is an apocalyptic number.

1267887260025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1267887260025 is the 1126005-th square number.

1267887260025 is the 563003-rd centered octagonal number.

It is an amenable number.

1267887260025 is a deficient number, since it is larger than the sum of its proper divisors (1019708787348).

1267887260025 is an frugal number, since it uses more digits than its factorization.

1267887260025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1267887260025 in words is "one trillion, two hundred sixty-seven billion, eight hundred eighty-seven million, two hundred sixty thousand, twenty-five".