513421040 has 80 divisors (see below), whose sum is σ = 1370805120. Its totient is φ = 176866560.

The previous prime is 513421033. The next prime is 513421043. The reversal of 513421040 is 40124315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513421043) 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, 1367 + ... + 32073.

It is an arithmetic number, because the mean of its divisors is an integer number (17135064).

Almost surely, 2^513421040 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 513421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685402560).

513421040 is an abundant number, since it is smaller than the sum of its proper divisors (857384080).

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

513421040 is a wasteful number, since it uses less digits than its factorization.

513421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30750 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 513421040 is about 22658.7960845231. The cubic root of 513421040 is about 800.7394413226.

Adding to 513421040 its reverse (40124315), we get a palindrome (553545355).

The spelling of 513421040 in words is "five hundred thirteen million, four hundred twenty-one thousand, forty".