1267481930625 has 135 divisors (see below), whose sum is σ = 2433023404383. Its totient is φ = 635505696000.

The previous prime is 1267481930593. The next prime is 1267481930639. The reversal of 1267481930625 is 5260391847621.

It is a happy number.

The square root of 1267481930625 is 1125825.

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

1267481930625 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 4 + 8 + 1 + 9 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 618980283009 + 648501647616 = 786753^2 + 805296^2 .

It is not a de Polignac number, because 1267481930625 - 2⁵ = 1267481930593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1435426434 + ... + 1435427316.

It is a 1-persistent number, because it is pandigital, but 2⋅1267481930625 = 2534963861250 is not.

Almost surely, 2^{1267481930625} is an apocalyptic number.

1267481930625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1267481930625 is the 1125825-th square number.

1267481930625 is the 562913-rd centered octagonal number.

It is an amenable number.

1267481930625 is a deficient number, since it is larger than the sum of its proper divisors (1165541473758).

1267481930625 is an frugal number, since it uses more digits than its factorization.

1267481930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1267481930625 in words is "one trillion, two hundred sixty-seven billion, four hundred eighty-one million, nine hundred thirty thousand, six hundred twenty-five".