1261353105 has 48 divisors (see below), whose sum is σ = 2223936000. Its totient is φ = 661235328.

The previous prime is 1261353091. The next prime is 1261353157. The reversal of 1261353105 is 5013531621.

1261353105 is a `hidden beast` number, since 12 + 613 + 5 + 31 + 0 + 5 = 666.

It is not a de Polignac number, because 1261353105 - 2⁴ = 1261353089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955636 + ... + 956954.

It is an arithmetic number, because the mean of its divisors is an integer number (46332000).

Almost surely, 2^1261353105 is an apocalyptic number.

1261353105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1261353105 is a deficient number, since it is larger than the sum of its proper divisors (962582895).

1261353105 is a wasteful number, since it uses less digits than its factorization.

1261353105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1261353105 is about 35515.5332917866. The cubic root of 1261353105 is about 1080.4687908262.

Adding to 1261353105 its reverse (5013531621), we get a palindrome (6274884726).

The spelling of 1261353105 in words is "one billion, two hundred sixty-one million, three hundred fifty-three thousand, one hundred five".