513333214331 has 16 divisors (see below), whose sum is σ = 594745405440. Its totient is φ = 433952981280.

The previous prime is 513333214307. The next prime is 513333214369. The reversal of 513333214331 is 133412333315.

It is a de Polignac number, because none of the positive numbers 2^k-513333214331 is a prime.

It is a super-2 number, since 2×513333214331² (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 (513333214231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5696 + ... + 1013261.

It is an arithmetic number, because the mean of its divisors is an integer number (37171587840).

Almost surely, 2^513333214331 is an apocalyptic number.

513333214331 is a deficient number, since it is larger than the sum of its proper divisors (81412191109).

513333214331 is a wasteful number, since it uses less digits than its factorization.

513333214331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019954.

The product of its digits is 29160, while the sum is 32.

Adding to 513333214331 its reverse (133412333315), we get a palindrome (646745547646).

The spelling of 513333214331 in words is "five hundred thirteen billion, three hundred thirty-three million, two hundred fourteen thousand, three hundred thirty-one".