10005056010527 has 2 divisors, whose sum is σ = 10005056010528. Its totient is φ = 10005056010526.

The previous prime is 10005056010457. The next prime is 10005056010613. The reversal of 10005056010527 is 72501065050001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10005056010527 - 2¹⁸ = 10005055748383 is a prime.

It is a super-2 number, since 2×10005056010527² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005056010493 and 10005056010502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005056013527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002528005263 + 5002528005264.

It is an arithmetic number, because the mean of its divisors is an integer number (5002528005264).

Almost surely, 2^{10005056010527} is an apocalyptic number.

10005056010527 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005056010527 is an equidigital number, since it uses as much as digits as its factorization.

10005056010527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 10005056010527 in words is "ten trillion, five billion, fifty-six million, ten thousand, five hundred twenty-seven".