2032313504513 has 8 divisors (see below), whose sum is σ = 2072868974568. Its totient is φ = 1991839883904.

The previous prime is 2032313504509. The next prime is 2032313504539. The reversal of 2032313504513 is 3154053132302.

It can be written as a sum of positive squares in 4 ways, for example, as 75288774544 + 1957024729969 = 274388^2 + 1398937^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2032313504513 - 2² = 2032313504509 is a prime.

It is a super-4 number, since 4×2032313504513⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2032313504513.

It is not an unprimeable number, because it can be changed into a prime (2032313504503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20412206 + ... + 20511527.

It is an arithmetic number, because the mean of its divisors is an integer number (259108621821).

Almost surely, 2^{2032313504513} is an apocalyptic number.

It is an amenable number.

2032313504513 is a deficient number, since it is larger than the sum of its proper divisors (40555470055).

2032313504513 is an equidigital number, since it uses as much as digits as its factorization.

2032313504513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40924723.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 2032313504513 its reverse (3154053132302), we get a palindrome (5186366636815).

The spelling of 2032313504513 in words is "two trillion, thirty-two billion, three hundred thirteen million, five hundred four thousand, five hundred thirteen".