513214634142 has 192 divisors, whose sum is σ = 1368574631424. Its totient is φ = 135660718080.

The previous prime is 513214634131. The next prime is 513214634173. The reversal of 513214634142 is 241436412315.

513214634142 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 4 + 634 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513214634097 and 513214634106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47999017 + ... + 48009707.

It is an arithmetic number, because the mean of its divisors is an integer number (7127992872).

Almost surely, 2^513214634142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513214634142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684287315712).

513214634142 is an abundant number, since it is smaller than the sum of its proper divisors (855359997282).

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

513214634142 is a wasteful number, since it uses less digits than its factorization.

513214634142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11100 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 513214634142 in words is "five hundred thirteen billion, two hundred fourteen million, six hundred thirty-four thousand, one hundred forty-two".