5164125120 has 1008 divisors, whose sum is σ = 23398764480. Its totient is φ = 1021870080.

The previous prime is 5164125097. The next prime is 5164125143. The reversal of 5164125120 is 215214615.

5164125120 is a `hidden beast` number, since 5 + 1 + 641 + 2 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5164125097) and next prime (5164125143).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70741404 + ... + 70741476.

It is an arithmetic number, because the mean of its divisors is an integer number (23213060).

Almost surely, 2^5164125120 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 5164125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699382240).

5164125120 is an abundant number, since it is smaller than the sum of its proper divisors (18234639360).

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

5164125120 is a wasteful number, since it uses less digits than its factorization.

5164125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5164125120 is about 71861.8474574652. The cubic root of 5164125120 is about 1728.4848819321.

Adding to 5164125120 its reverse (215214615), we get a palindrome (5379339735).

The spelling of 5164125120 in words is "five billion, one hundred sixty-four million, one hundred twenty-five thousand, one hundred twenty".