252761064 has 64 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 80832000.

The previous prime is 252761063. The next prime is 252761087. The reversal of 252761064 is 460167252.

252761064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252761063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57919 + ... + 62129.

It is an arithmetic number, because the mean of its divisors is an integer number (10282545).

Almost surely, 2^252761064 is an apocalyptic number.

252761064 is a gapful number since it is divisible by the number (24) 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 252761064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

252761064 is an abundant number, since it is smaller than the sum of its proper divisors (405321816).

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

252761064 is a wasteful number, since it uses less digits than its factorization.

252761064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 252761064 is about 15898.4610575993. The cubic root of 252761064 is about 632.2711876294.

The spelling of 252761064 in words is "two hundred fifty-two million, seven hundred sixty-one thousand, sixty-four".