52761000 has 128 divisors (see below), whose sum is σ = 168854400. Its totient is φ = 13708800.

The previous prime is 52760999. The next prime is 52761017. The reversal of 52761000 is 16725.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128796 + ... + 129204.

It is an arithmetic number, because the mean of its divisors is an integer number (1319175).

Almost surely, 2^52761000 is an apocalyptic number.

52761000 is a gapful number since it is divisible by the number (50) 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 52761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84427200).

52761000 is an abundant number, since it is smaller than the sum of its proper divisors (116093400).

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

52761000 is a wasteful number, since it uses less digits than its factorization.

52761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 52761000 is about 7263.6767549224. The cubic root of 52761000 is about 375.0631004927.

Adding to 52761000 its reverse (16725), we get a palindrome (52777725).

The spelling of 52761000 in words is "fifty-two million, seven hundred sixty-one thousand".