513311420353 has 8 divisors (see below), whose sum is σ = 514802235816. Its totient is φ = 511820812800.

The previous prime is 513311420329. The next prime is 513311420437. The reversal of 513311420353 is 353024113315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 205810117569 + 307501302784 = 453663^2 + 554528^2 .

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 513311420353 - 2²¹ = 513309323201 is a prime.

It is a super-2 number, since 2×513311420353² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513311420753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5866143 + ... + 5953003.

It is an arithmetic number, because the mean of its divisors is an integer number (64350279477).

Almost surely, 2^513311420353 is an apocalyptic number.

It is an amenable number.

513311420353 is a deficient number, since it is larger than the sum of its proper divisors (1490815463).

513311420353 is a wasteful number, since it uses less digits than its factorization.

513311420353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103955.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 513311420353 its reverse (353024113315), we get a palindrome (866335533668).

The spelling of 513311420353 in words is "five hundred thirteen billion, three hundred eleven million, four hundred twenty thousand, three hundred fifty-three".