514013688 has 160 divisors (see below), whose sum is σ = 1536796800. Its totient is φ = 160045632.

The previous prime is 514013681. The next prime is 514013693. The reversal of 514013688 is 886310415.

514013688 is a `hidden beast` number, since 514 + 0 + 136 + 8 + 8 = 666.

It is a super-2 number, since 2×514013688² = 528420142902722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514013681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1021645 + ... + 1022147.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2^514013688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

514013688 is an abundant number, since it is smaller than the sum of its proper divisors (1022783112).

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

514013688 is a wasteful number, since it uses less digits than its factorization.

514013688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 514013688 is about 22671.8699713985. The cubic root of 514013688 is about 801.0474238639.

The spelling of 514013688 in words is "five hundred fourteen million, thirteen thousand, six hundred eighty-eight".