513411450 has 48 divisors (see below), whose sum is σ = 1277522400. Its totient is φ = 136451520.

The previous prime is 513411433. The next prime is 513411461. The reversal of 513411450 is 54114315.

It is a happy number.

It is a super-2 number, since 2×513411450² = 527182633982205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513411450.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40476 + ... + 51624.

It is an arithmetic number, because the mean of its divisors is an integer number (26615050).

Almost surely, 2^513411450 is an apocalyptic number.

513411450 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 513411450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638761200).

513411450 is an abundant number, since it is smaller than the sum of its proper divisors (764110950).

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

513411450 is a wasteful number, since it uses less digits than its factorization.

513411450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 513411450 is about 22658.5844659370. The cubic root of 513411450 is about 800.7344557205.

Adding to 513411450 its reverse (54114315), we get a palindrome (567525765).

The spelling of 513411450 in words is "five hundred thirteen million, four hundred eleven thousand, four hundred fifty".