10007734067153 has 2 divisors, whose sum is σ = 10007734067154. Its totient is φ = 10007734067152.

The previous prime is 10007734067101. The next prime is 10007734067159. The reversal of 10007734067153 is 35176043770001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7624131559489 + 2383602507664 = 2761183^2 + 1543892^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007734067153 - 2¹⁰ = 10007734066129 is a prime.

It is a super-3 number, since 3×10007734067153³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10007734067159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003867033576 + 5003867033577.

It is an arithmetic number, because the mean of its divisors is an integer number (5003867033577).

Almost surely, 2^{10007734067153} is an apocalyptic number.

It is an amenable number.

10007734067153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007734067153 is an equidigital number, since it uses as much as digits as its factorization.

10007734067153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 370440, while the sum is 44.

The spelling of 10007734067153 in words is "ten trillion, seven billion, seven hundred thirty-four million, sixty-seven thousand, one hundred fifty-three".