513671840 has 96 divisors (see below), whose sum is σ = 1393640640. Its totient is φ = 176947200.

The previous prime is 513671839. The next prime is 513671849. The reversal of 513671840 is 48176315.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513671840.

It is not an unprimeable number, because it can be changed into a prime (513671849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25760 + ... + 41120.

It is an arithmetic number, because the mean of its divisors is an integer number (14517090).

Almost surely, 2^513671840 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 513671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696820320).

513671840 is an abundant number, since it is smaller than the sum of its proper divisors (879968800).

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

513671840 is a wasteful number, since it uses less digits than its factorization.

513671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 513671840 is about 22664.3296834475. The cubic root of 513671840 is about 800.8698039586.

The spelling of 513671840 in words is "five hundred thirteen million, six hundred seventy-one thousand, eight hundred forty".