5165871876 has 147 divisors (see below), whose sum is σ = 14909633767. Its totient is φ = 1565415720.

The previous prime is 5165871853. The next prime is 5165871881. The reversal of 5165871876 is 6781785615.

The square root of 5165871876 is 71874.

It is a perfect power (a square), and thus also a powerful number.

5165871876 is a `hidden beast` number, since 51 + 6 + 587 + 1 + 8 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (2822400) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11.

It is a zygodrome in base 3 and base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 469624711 + ... + 469624721.

Almost surely, 2^5165871876 is an apocalyptic number.

5165871876 is the 71874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165871876

5165871876 is an abundant number, since it is smaller than the sum of its proper divisors (9743761891).

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

5165871876 is an frugal number, since it uses more digits than its factorization.

5165871876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 16 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The cubic root of 5165871876 is about 1728.6797455934.

Multiplying 5165871876 by its sum of digits (54), we get a cube (278957081304 = 6534³).

The spelling of 5165871876 in words is "five billion, one hundred sixty-five million, eight hundred seventy-one thousand, eight hundred seventy-six".