10002828257 has 2 divisors, whose sum is σ = 10002828258. Its totient is φ = 10002828256.

The previous prime is 10002828239. The next prime is 10002828263. The reversal of 10002828257 is 75282820001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5604618496 + 4398209761 = 74864^2 + 66319^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002828257 - 2⁶ = 10002828193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002828757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001414128 + 5001414129.

It is an arithmetic number, because the mean of its divisors is an integer number (5001414129).

Almost surely, 2^10002828257 is an apocalyptic number.

It is an amenable number.

10002828257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002828257 is an equidigital number, since it uses as much as digits as its factorization.

10002828257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 10002828257 in words is "ten billion, two million, eight hundred twenty-eight thousand, two hundred fifty-seven".