1353107061 has 24 divisors (see below), whose sum is σ = 2071644120. Its totient is φ = 848111616.

The previous prime is 1353107047. The next prime is 1353107071. The reversal of 1353107061 is 1607013531.

1353107061 is a `hidden beast` number, since 1 + 3 + 531 + 0 + 70 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 510308100 + 842798961 = 22590^2 + 29031^2 .

It is not a de Polignac number, because 1353107061 - 2¹⁸ = 1352844917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353107071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159421 + ... + 167693.

It is an arithmetic number, because the mean of its divisors is an integer number (86318505).

Almost surely, 2^1353107061 is an apocalyptic number.

It is an amenable number.

1353107061 is a deficient number, since it is larger than the sum of its proper divisors (718537059).

1353107061 is a wasteful number, since it uses less digits than its factorization.

1353107061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1353107061 is about 36784.6035862832. The cubic root of 1353107061 is about 1106.0566896158.

The spelling of 1353107061 in words is "one billion, three hundred fifty-three million, one hundred seven thousand, sixty-one".