10052737 has 2 divisors, whose sum is σ = 10052738. Its totient is φ = 10052736.

The previous prime is 10052719. The next prime is 10052753. The reversal of 10052737 is 73725001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9235521 + 817216 = 3039^2 + 904^2 .

It is a cyclic number.

It is not a de Polignac number, because 10052737 - 2¹⁵ = 10019969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10052717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5026368 + 5026369.

It is an arithmetic number, because the mean of its divisors is an integer number (5026369).

Almost surely, 2^10052737 is an apocalyptic number.

It is an amenable number.

10052737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052737 is an equidigital number, since it uses as much as digits as its factorization.

10052737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 10052737 is about 3170.6051472866. The cubic root of 10052737 is about 215.8215332550.

Adding to 10052737 its reverse (73725001), we get a palindrome (83777738).

It can be divided in two parts, 1005 and 2737, that multiplied together give a triangular number (2750685 = T₂₃₄₅).

The spelling of 10052737 in words is "ten million, fifty-two thousand, seven hundred thirty-seven".