10052757 has 48 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 5495040.

The previous prime is 10052753. The next prime is 10052759. The reversal of 10052757 is 75725001.

It is not a de Polignac number, because 10052757 - 2² = 10052753 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10052757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93898 + ... + 94004.

It is an arithmetic number, because the mean of its divisors is an integer number (363636).

Almost surely, 2^10052757 is an apocalyptic number.

It is an amenable number.

10052757 is a deficient number, since it is larger than the sum of its proper divisors (7401771).

10052757 is a wasteful number, since it uses less digits than its factorization.

10052757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10052757 is about 3170.6083012570. The cubic root of 10052757 is about 215.8216763811.

Adding to 10052757 its reverse (75725001), we get a palindrome (85777758).

The spelling of 10052757 in words is "ten million, fifty-two thousand, seven hundred fifty-seven".