513006414 has 16 divisors (see below), whose sum is σ = 1059110400. Its totient is φ = 165485880.

The previous prime is 513006409. The next prime is 513006419. The reversal of 513006414 is 414600315.

It is an interprime number because it is at equal distance from previous prime (513006409) and next prime (513006419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513006419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378864 + ... + 1379235.

It is an arithmetic number, because the mean of its divisors is an integer number (66194400).

Almost surely, 2^513006414 is an apocalyptic number.

513006414 is an abundant number, since it is smaller than the sum of its proper divisors (546103986).

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

513006414 is a wasteful number, since it uses less digits than its factorization.

513006414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758135.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513006414 is about 22649.6448978786. The cubic root of 513006414 is about 800.5238308850.

Adding to 513006414 its reverse (414600315), we get a palindrome (927606729).

The spelling of 513006414 in words is "five hundred thirteen million, six thousand, four hundred fourteen".