3536006353 has 12 divisors (see below), whose sum is σ = 3960025524. Its totient is φ = 3153893600.

The previous prime is 3536006347. The next prime is 3536006359.

3536006353 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3536006347) and next prime (3536006359).

It can be written as a sum of positive squares in 2 ways, for example, as 1776791104 + 1759215249 = 42152^2 + 41943^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3536006353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3536006359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269278 + ... + 282103.

It is an arithmetic number, because the mean of its divisors is an integer number (330002127).

Almost surely, 2^3536006353 is an apocalyptic number.

It is an amenable number.

3536006353 is a deficient number, since it is larger than the sum of its proper divisors (424019171).

3536006353 is a wasteful number, since it uses less digits than its factorization.

3536006353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551456 (or 551445 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 34.

The square root of 3536006353 is about 59464.3284078783. The cubic root of 3536006353 is about 1523.4832330128.

It can be divided in two parts, 353600 and 6353, that added together give a palindrome (359953).

The spelling of 3536006353 in words is "three billion, five hundred thirty-six million, six thousand, three hundred fifty-three".