1270509954561 has 63 divisors (see below), whose sum is σ = 1927562710899. Its totient is φ = 837044716752.

The previous prime is 1270509954551. The next prime is 1270509954583. The reversal of 1270509954561 is 1654599050721.

The square root of 1270509954561 is 1127169.

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

1270509954561 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 0 + 99 + 545 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 885539342961 + 384970611600 = 941031^2 + 620460^2 .

It is not a de Polignac number, because 1270509954561 - 2²³ = 1270501565953 is a prime.

It is a super-2 number, since 2×1270509954561² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1270509954498 and 1270509954507.

It is not an unprimeable number, because it can be changed into a prime (1270509954551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3317258176 + ... + 3317258558.

Almost surely, 2^{1270509954561} is an apocalyptic number.

1270509954561 is the 1127169-th square number.

1270509954561 is the 563585-th centered octagonal number.

It is an amenable number.

1270509954561 is a deficient number, since it is larger than the sum of its proper divisors (657052756338).

1270509954561 is an frugal number, since it uses more digits than its factorization.

1270509954561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 1270509954561 in words is "one trillion, two hundred seventy billion, five hundred nine million, nine hundred fifty-four thousand, five hundred sixty-one".