513057114 has 48 divisors (see below), whose sum is σ = 1180951200. Its totient is φ = 160519968.

The previous prime is 513057107. The next prime is 513057121. The reversal of 513057114 is 411750315.

513057114 is a `hidden beast` number, since 51 + 30 + 571 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (513057107) and next prime (513057121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30397 + ... + 44159.

It is an arithmetic number, because the mean of its divisors is an integer number (24603150).

Almost surely, 2^513057114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513057114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590475600).

513057114 is an abundant number, since it is smaller than the sum of its proper divisors (667894086).

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

513057114 is a wasteful number, since it uses less digits than its factorization.

513057114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 513057114 is about 22650.7640930720. The cubic root of 513057114 is about 800.5502017192.

The spelling of 513057114 in words is "five hundred thirteen million, fifty-seven thousand, one hundred fourteen".