5177952 has 96 divisors (see below), whose sum is σ = 16299360. Its totient is φ = 1589760.

The previous prime is 5177947. The next prime is 5177969. The reversal of 5177952 is 2597715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5177952² = 53622373828608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11002 + ... + 11462.

It is an arithmetic number, because the mean of its divisors is an integer number (169785).

Almost surely, 2^5177952 is an apocalyptic number.

5177952 is a gapful number since it is divisible by the number (52) 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 5177952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149680).

5177952 is an abundant number, since it is smaller than the sum of its proper divisors (11121408).

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

5177952 is a wasteful number, since it uses less digits than its factorization.

5177952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 5177952 is about 2275.5113710988. The cubic root of 5177952 is about 173.0026172658.

The spelling of 5177952 in words is "five million, one hundred seventy-seven thousand, nine hundred fifty-two".