513666402254334 has 96 divisors (see below), whose sum is σ = 1292879500076736. Its totient is φ = 144345597903360.

The previous prime is 513666402254281. The next prime is 513666402254339. The reversal of 513666402254334 is 433452204666315.

It is a super-2 number, since 2×513666402254334² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513666402254339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105664944 + ... + 110419260.

It is an arithmetic number, because the mean of its divisors is an integer number (13467494792466).

Almost surely, 2^{513666402254334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513666402254334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646439750038368).

513666402254334 is an abundant number, since it is smaller than the sum of its proper divisors (779213097822402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513666402254334 is a wasteful number, since it uses less digits than its factorization.

513666402254334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768450 (or 4768447 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 513666402254334 in words is "five hundred thirteen trillion, six hundred sixty-six billion, four hundred two million, two hundred fifty-four thousand, three hundred thirty-four".