35283136681521 has 27 divisors (see below), whose sum is σ = 51234958047819. Its totient is φ = 23397934056192.

The previous prime is 35283136681511. The next prime is 35283136681549. The reversal of 35283136681521 is 12518663138253.

The square root of 35283136681521 is 5939961.

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

35283136681521 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 3 + 1 + 36 + 6 + 81 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8548694154225 + 26734442527296 = 2923815^2 + 5170536^2 .

It is not a de Polignac number, because 35283136681521 - 2²³ = 35283128292913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35283136681511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3439232290 + ... + 3439242548.

Almost surely, 2^{35283136681521} is an apocalyptic number.

35283136681521 is the 5939961-st square number.

35283136681521 is the 2969981-st centered octagonal number.

It is an amenable number.

35283136681521 is a deficient number, since it is larger than the sum of its proper divisors (15951821366298).

35283136681521 is an frugal number, since it uses more digits than its factorization.

35283136681521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910 (or 10455 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 35283136681521 in words is "thirty-five trillion, two hundred eighty-three billion, one hundred thirty-six million, six hundred eighty-one thousand, five hundred twenty-one".