1537123105813 has 2 divisors, whose sum is σ = 1537123105814. Its totient is φ = 1537123105812.

The previous prime is 1537123105811. The next prime is 1537123105913. The reversal of 1537123105813 is 3185013217351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 991265158129 + 545857947684 = 995623^2 + 738822^2 .

It is a cyclic number.

It is not a de Polignac number, because 1537123105813 - 2¹ = 1537123105811 is a prime.

Together with 1537123105811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1537123105811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 768561552906 + 768561552907.

It is an arithmetic number, because the mean of its divisors is an integer number (768561552907).

Almost surely, 2^{1537123105813} is an apocalyptic number.

It is an amenable number.

1537123105813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1537123105813 is an equidigital number, since it uses as much as digits as its factorization.

1537123105813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 1537123105813 in words is "one trillion, five hundred thirty-seven billion, one hundred twenty-three million, one hundred five thousand, eight hundred thirteen".