513072630 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 112674240.

The previous prime is 513072619. The next prime is 513072641. The reversal of 513072630 is 36270315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513072619) and next prime (513072641).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513072594 and 513072603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3691101 + ... + 3691239.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^513072630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513072630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

513072630 is an abundant number, since it is smaller than the sum of its proper divisors (1160046090).

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

513072630 is a wasteful number, since it uses less digits than its factorization.

513072630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 513072630 is about 22651.1065954845. The cubic root of 513072630 is about 800.5582717835.

The spelling of 513072630 in words is "five hundred thirteen million, seventy-two thousand, six hundred thirty".