10137514561 has 2 divisors, whose sum is σ = 10137514562. Its totient is φ = 10137514560.

The previous prime is 10137514559. The next prime is 10137514591. The reversal of 10137514561 is 16541573101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9463592961 + 673921600 = 97281^2 + 25960^2 .

It is an emirp because it is prime and its reverse (16541573101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10137514561 - 2¹ = 10137514559 is a prime.

Together with 10137514559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10137514591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068757280 + 5068757281.

It is an arithmetic number, because the mean of its divisors is an integer number (5068757281).

Almost surely, 2^10137514561 is an apocalyptic number.

It is an amenable number.

10137514561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137514561 is an equidigital number, since it uses as much as digits as its factorization.

10137514561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 10137514561 in words is "ten billion, one hundred thirty-seven million, five hundred fourteen thousand, five hundred sixty-one".