513406350 has 120 divisors (see below), whose sum is σ = 1440834120. Its totient is φ = 135535680.

The previous prime is 513406337. The next prime is 513406373. The reversal of 513406350 is 53604315.

513406350 is a `hidden beast` number, since 513 + 40 + 63 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 440869 + ... + 442031.

It is an arithmetic number, because the mean of its divisors is an integer number (12006951).

Almost surely, 2^513406350 is an apocalyptic number.

513406350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513406350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720417060).

513406350 is an abundant number, since it is smaller than the sum of its proper divisors (927427770).

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

513406350 is a wasteful number, since it uses less digits than its factorization.

513406350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 513406350 is about 22658.4719255293. The cubic root of 513406350 is about 800.7318043322.

The spelling of 513406350 in words is "five hundred thirteen million, four hundred six thousand, three hundred fifty".