677117252 has 48 divisors (see below), whose sum is σ = 1401093120. Its totient is φ = 280195200.

The previous prime is 677117227. The next prime is 677117333. The reversal of 677117252 is 252711776.

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, 719102 + ... + 720042.

It is an arithmetic number, because the mean of its divisors is an integer number (29189440).

Almost surely, 2^677117252 is an apocalyptic number.

677117252 is a gapful number since it is divisible by the number (62) 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 677117252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700546560).

677117252 is an abundant number, since it is smaller than the sum of its proper divisors (723975868).

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

677117252 is a wasteful number, since it uses less digits than its factorization.

677117252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its digits is 41160, while the sum is 38.

The square root of 677117252 is about 26021.4767451811. The cubic root of 677117252 is about 878.1215319443.

The spelling of 677117252 in words is "six hundred seventy-seven million, one hundred seventeen thousand, two hundred fifty-two".