513001350 has 120 divisors (see below), whose sum is σ = 1509432408. Its totient is φ = 128736000.

The previous prime is 513001339. The next prime is 513001351. The reversal of 513001350 is 53100315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513001351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65125 + ... + 72575.

Almost surely, 2^513001350 is an apocalyptic number.

513001350 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 513001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754716204).

513001350 is an abundant number, since it is smaller than the sum of its proper divisors (996431058).

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

513001350 is a wasteful number, since it uses less digits than its factorization.

513001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 513001350 is about 22649.5331077707. The cubic root of 513001350 is about 800.5211968269.

Adding to 513001350 its reverse (53100315), we get a palindrome (566101665).

It can be divided in two parts, 51300 and 1350, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 513001350 in words is "five hundred thirteen million, one thousand, three hundred fifty".