510163164 has 192 divisors, whose sum is σ = 1573017600. Its totient is φ = 139968000.

The previous prime is 510163151. The next prime is 510163177. The reversal of 510163164 is 461361015.

It is an interprime number because it is at equal distance from previous prime (510163151) and next prime (510163177).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3378489 + ... + 3378639.

It is an arithmetic number, because the mean of its divisors is an integer number (8192800).

Almost surely, 2^510163164 is an apocalyptic number.

510163164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510163164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786508800).

510163164 is an abundant number, since it is smaller than the sum of its proper divisors (1062854436).

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

510163164 is a wasteful number, since it uses less digits than its factorization.

510163164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 510163164 is about 22586.7918040611. The cubic root of 510163164 is about 799.0421682389.

It can be divided in two parts, 5101 and 63164, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 510163164 in words is "five hundred ten million, one hundred sixty-three thousand, one hundred sixty-four".