353513 has 4 divisors (see below), whose sum is σ = 354900. Its totient is φ = 352128.

The previous prime is 353501. The next prime is 353527. The reversal of 353513 is 315353.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 315353 = 23 ⋅13711.

It can be written as a sum of positive squares in 2 ways, for example, as 218089 + 135424 = 467^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 353513 - 2¹⁰ = 352489 is a prime.

It is a super-4 number, since 4×353513⁴ (a number of 23 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (88725).

2³⁵³⁵¹³ is an apocalyptic number.

It is an amenable number.

353513 is a deficient number, since it is larger than the sum of its proper divisors (1387).

353513 is a wasteful number, since it uses less digits than its factorization.

353513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386.

The product of its digits is 675, while the sum is 20.

The square root of 353513 is about 594.5695922262. The cubic root of 353513 is about 70.7079853099.

Adding to 353513 its reverse (315353), we get a palindrome (668866).

The spelling of 353513 in words is "three hundred fifty-three thousand, five hundred thirteen".