5171661264 has 160 divisors (see below), whose sum is σ = 16770355200. Its totient is φ = 1334131200.

The previous prime is 5171661233. The next prime is 5171661269. The reversal of 5171661264 is 4621661715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171661269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546009 + ... + 555399.

It is an arithmetic number, because the mean of its divisors is an integer number (104814720).

Almost surely, 2^5171661264 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 5171661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385177600).

5171661264 is an abundant number, since it is smaller than the sum of its proper divisors (11598693936).

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

5171661264 is a wasteful number, since it uses less digits than its factorization.

5171661264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569 (or 9563 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 5171661264 is about 71914.2632862216. The cubic root of 5171661264 is about 1729.3252811189.

It can be divided in two parts, 5171 and 661264, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 5171661264 in words is "five billion, one hundred seventy-one million, six hundred sixty-one thousand, two hundred sixty-four".