513875142 has 96 divisors (see below), whose sum is σ = 1243550880. Its totient is φ = 153331200.

The previous prime is 513875123. The next prime is 513875149. The reversal of 513875142 is 241578315.

513875142 is a `hidden beast` number, since 5 + 138 + 7 + 514 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513875097 and 513875106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513875149) 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, 2132142 + ... + 2132382.

It is an arithmetic number, because the mean of its divisors is an integer number (12953655).

Almost surely, 2^513875142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513875142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621775440).

513875142 is an abundant number, since it is smaller than the sum of its proper divisors (729675738).

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

513875142 is a wasteful number, since it uses less digits than its factorization.

513875142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 513875142 is about 22668.8143051197. The cubic root of 513875142 is about 800.9754466048.

The spelling of 513875142 in words is "five hundred thirteen million, eight hundred seventy-five thousand, one hundred forty-two".