513041958 has 192 divisors, whose sum is σ = 1404748800. Its totient is φ = 136805760.

The previous prime is 513041951. The next prime is 513041959. The reversal of 513041958 is 859140315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513041951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6494163 + ... + 6494241.

It is an arithmetic number, because the mean of its divisors is an integer number (7316400).

Almost surely, 2^513041958 is an apocalyptic number.

513041958 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513041958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702374400).

513041958 is an abundant number, since it is smaller than the sum of its proper divisors (891706842).

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

513041958 is a wasteful number, since it uses less digits than its factorization.

513041958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 513041958 is about 22650.4295323510. The cubic root of 513041958 is about 800.5423187382.

The spelling of 513041958 in words is "five hundred thirteen million, forty-one thousand, nine hundred fifty-eight".