513109740 has 192 divisors, whose sum is σ = 1711503360. Its totient is φ = 113218560.

The previous prime is 513109739. The next prime is 513109741. The reversal of 513109740 is 47901315.

It is an interprime number because it is at equal distance from previous prime (513109739) and next prime (513109741).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513109698 and 513109707.

It is not an unprimeable number, because it can be changed into a prime (513109741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677442 + ... + 678198.

It is an arithmetic number, because the mean of its divisors is an integer number (8914080).

Almost surely, 2^513109740 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 513109740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855751680).

513109740 is an abundant number, since it is smaller than the sum of its proper divisors (1198393620).

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

513109740 is a wasteful number, since it uses less digits than its factorization.

513109740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 513109740 is about 22651.9257459493. The cubic root of 513109740 is about 800.5775724955.

The spelling of 513109740 in words is "five hundred thirteen million, one hundred nine thousand, seven hundred forty".