35138855883153 has 32 divisors (see below), whose sum is σ = 51831788516352. Its totient is φ = 20995983892800.

The previous prime is 35138855883133. The next prime is 35138855883221.

35138855883153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35138855883153 - 2²² = 35138851688849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35138855883113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257856351 + ... + 257992587.

It is an arithmetic number, because the mean of its divisors is an integer number (1619743391136).

Almost surely, 2^{35138855883153} is an apocalyptic number.

35138855883153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35138855883153 is a deficient number, since it is larger than the sum of its proper divisors (16692932633199).

35138855883153 is a wasteful number, since it uses less digits than its factorization.

35138855883153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246405.

The product of its digits is 207360000, while the sum is 66.

The spelling of 35138855883153 in words is "thirty-five trillion, one hundred thirty-eight billion, eight hundred fifty-five million, eight hundred eighty-three thousand, one hundred fifty-three".