10029226358497 has 2 divisors, whose sum is σ = 10029226358498. Its totient is φ = 10029226358496.

The previous prime is 10029226358453. The next prime is 10029226358507. The reversal of 10029226358497 is 79485362292001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8173743768576 + 1855482589921 = 2858976^2 + 1362161^2 .

It is an emirp because it is prime and its reverse (79485362292001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10029226358497 - 2⁷ = 10029226358369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10029226358447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014613179248 + 5014613179249.

It is an arithmetic number, because the mean of its divisors is an integer number (5014613179249).

It is a 1-persistent number, because it is pandigital, but 2⋅10029226358497 = 20058452716994 is not.

Almost surely, 2^{10029226358497} is an apocalyptic number.

It is an amenable number.

10029226358497 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029226358497 is an equidigital number, since it uses as much as digits as its factorization.

10029226358497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 10029226358497 in words is "ten trillion, twenty-nine billion, two hundred twenty-six million, three hundred fifty-eight thousand, four hundred ninety-seven".