10315540501561 has 2 divisors, whose sum is σ = 10315540501562. Its totient is φ = 10315540501560.

The previous prime is 10315540501559. The next prime is 10315540501601. The reversal of 10315540501561 is 16510504551301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7501134992400 + 2814405509161 = 2738820^2 + 1677619^2 .

It is an emirp because it is prime and its reverse (16510504551301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10315540501561 - 2¹ = 10315540501559 is a prime.

Together with 10315540501559, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10315540501561.

It is not a weakly prime, because it can be changed into another prime (10315540501061) 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, 5157770250780 + 5157770250781.

It is an arithmetic number, because the mean of its divisors is an integer number (5157770250781).

Almost surely, 2^{10315540501561} is an apocalyptic number.

It is an amenable number.

10315540501561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315540501561 is an equidigital number, since it uses as much as digits as its factorization.

10315540501561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 10315540501561 in words is "ten trillion, three hundred fifteen billion, five hundred forty million, five hundred one thousand, five hundred sixty-one".