10020285757 has 2 divisors, whose sum is σ = 10020285758. Its totient is φ = 10020285756.

The previous prime is 10020285727. The next prime is 10020285799. The reversal of 10020285757 is 75758202001.

10020285757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10014805476 + 5480281 = 100074^2 + 2341^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020285757 - 2²³ = 10011897149 is a prime.

It is a super-2 number, since 2×10020285757² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020285727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010142878 + 5010142879.

It is an arithmetic number, because the mean of its divisors is an integer number (5010142879).

Almost surely, 2^10020285757 is an apocalyptic number.

It is an amenable number.

10020285757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020285757 is an equidigital number, since it uses as much as digits as its factorization.

10020285757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 37.

Adding to 10020285757 its reverse (75758202001), we get a palindrome (85778487758).

The spelling of 10020285757 in words is "ten billion, twenty million, two hundred eighty-five thousand, seven hundred fifty-seven".