513151350 has 48 divisors (see below), whose sum is σ = 1279084800. Its totient is φ = 136144800.

The previous prime is 513151343. The next prime is 513151357. The reversal of 513151350 is 53151315.

It is an interprime number because it is at equal distance from previous prime (513151343) and next prime (513151357).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513151350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513151357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21255 + ... + 38445.

It is an arithmetic number, because the mean of its divisors is an integer number (26647600).

Almost surely, 2^513151350 is an apocalyptic number.

513151350 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 513151350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639542400).

513151350 is an abundant number, since it is smaller than the sum of its proper divisors (765933450).

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

513151350 is a wasteful number, since it uses less digits than its factorization.

513151350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17405 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 513151350 is about 22652.8441922863. The cubic root of 513151350 is about 800.5992125267.

The spelling of 513151350 in words is "five hundred thirteen million, one hundred fifty-one thousand, three hundred fifty".