10052763 has 32 divisors (see below), whose sum is σ = 16796160. Its totient is φ = 5214720.

The previous prime is 10052761. The next prime is 10052807. The reversal of 10052763 is 36725001.

10052763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10052763 - 2¹ = 10052761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10052761) 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, 9868 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 2^10052763 is an apocalyptic number.

10052763 is a deficient number, since it is larger than the sum of its proper divisors (6743397).

10052763 is a wasteful number, since it uses less digits than its factorization.

10052763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10052763 is about 3170.6092474476. The cubic root of 10052763 is about 215.8217193189.

Adding to 10052763 its reverse (36725001), we get a palindrome (46777764).

The spelling of 10052763 in words is "ten million, fifty-two thousand, seven hundred sixty-three".