5167165248 has 504 divisors, whose sum is σ = 18294400800. Its totient is φ = 1388169216.

The previous prime is 5167165243. The next prime is 5167165253. The reversal of 5167165248 is 8425617615.

5167165248 is a `hidden beast` number, since 51 + 6 + 71 + 6 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5167165243) and next prime (5167165253).

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167165243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48291211 + ... + 48291317.

Almost surely, 2^5167165248 is an apocalyptic number.

5167165248 is a gapful number since it is divisible by the number (58) 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 5167165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147200400).

5167165248 is an abundant number, since it is smaller than the sum of its proper divisors (13127235552).

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

5167165248 is a wasteful number, since it uses less digits than its factorization.

5167165248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5167165248 is about 71882.9969325153. The cubic root of 5167165248 is about 1728.8240025853.

The spelling of 5167165248 in words is "five billion, one hundred sixty-seven million, one hundred sixty-five thousand, two hundred forty-eight".