513042660 has 240 divisors, whose sum is σ = 1836472176. Its totient is φ = 118775808.

The previous prime is 513042659. The next prime is 513042661. The reversal of 513042660 is 66240315.

It is an interprime number because it is at equal distance from previous prime (513042659) and next prime (513042661).

It can be written as a sum of positive squares in 8 ways, for example, as 1920996 + 511121664 = 1386^2 + 22608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (513042661) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357304 + ... + 358736.

Almost surely, 2^513042660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513042660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918236088).

513042660 is an abundant number, since it is smaller than the sum of its proper divisors (1323429516).

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

513042660 is a wasteful number, since it uses less digits than its factorization.

513042660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 513042660 is about 22650.4450287406. The cubic root of 513042660 is about 800.5426838679.

Adding to 513042660 its reverse (66240315), we get a palindrome (579282975).

The spelling of 513042660 in words is "five hundred thirteen million, forty-two thousand, six hundred sixty".