513160950 has 48 divisors (see below), whose sum is σ = 1276436160. Its totient is φ = 136434720.

The previous prime is 513160931. The next prime is 513160969. The reversal of 513160950 is 59061315.

It is an interprime number because it is at equal distance from previous prime (513160931) and next prime (513160969).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47121 + ... + 56979.

It is an arithmetic number, because the mean of its divisors is an integer number (26592420).

Almost surely, 2^513160950 is an apocalyptic number.

513160950 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 513160950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638218080).

513160950 is an abundant number, since it is smaller than the sum of its proper divisors (763275210).

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

513160950 is a wasteful number, since it uses less digits than its factorization.

513160950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 513160950 is about 22653.0560852173. The cubic root of 513160950 is about 800.6042050138.

The spelling of 513160950 in words is "five hundred thirteen million, one hundred sixty thousand, nine hundred fifty".