10258131553 has 2 divisors, whose sum is σ = 10258131554. Its totient is φ = 10258131552.

The previous prime is 10258131497. The next prime is 10258131577. The reversal of 10258131553 is 35513185201.

10258131553 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7684801569 + 2573329984 = 87663^2 + 50728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10258131553 - 2²¹ = 10256034401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10258131853) 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, 5129065776 + 5129065777.

It is an arithmetic number, because the mean of its divisors is an integer number (5129065777).

Almost surely, 2^10258131553 is an apocalyptic number.

It is an amenable number.

10258131553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10258131553 is an equidigital number, since it uses as much as digits as its factorization.

10258131553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10258131553 in words is "ten billion, two hundred fifty-eight million, one hundred thirty-one thousand, five hundred fifty-three".