10057753301 has 2 divisors, whose sum is σ = 10057753302. Its totient is φ = 10057753300.

The previous prime is 10057753289. The next prime is 10057753313. The reversal of 10057753301 is 10335775001.

It is a balanced prime because it is at equal distance from previous prime (10057753289) and next prime (10057753313).

It can be written as a sum of positive squares in only one way, i.e., 6094924900 + 3962828401 = 78070^2 + 62951^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057753301 - 2¹⁴ = 10057736917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057753331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028876650 + 5028876651.

It is an arithmetic number, because the mean of its divisors is an integer number (5028876651).

Almost surely, 2^10057753301 is an apocalyptic number.

It is an amenable number.

10057753301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057753301 is an equidigital number, since it uses as much as digits as its factorization.

10057753301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025, while the sum is 32.

The spelling of 10057753301 in words is "ten billion, fifty-seven million, seven hundred fifty-three thousand, three hundred one".