10165720006537 has 2 divisors, whose sum is σ = 10165720006538. Its totient is φ = 10165720006536.

The previous prime is 10165720006499. The next prime is 10165720006661. The reversal of 10165720006537 is 73560002756101.

10165720006537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8147433805641 + 2018286200896 = 2854371^2 + 1420664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165720006537 - 2³¹ = 10163572522889 is a prime.

It is a super-3 number, since 3×10165720006537³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10165720006493 and 10165720006502.

It is not a weakly prime, because it can be changed into another prime (10165720606537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082860003268 + 5082860003269.

It is an arithmetic number, because the mean of its divisors is an integer number (5082860003269).

Almost surely, 2^{10165720006537} is an apocalyptic number.

It is an amenable number.

10165720006537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165720006537 is an equidigital number, since it uses as much as digits as its factorization.

10165720006537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 10165720006537 in words is "ten trillion, one hundred sixty-five billion, seven hundred twenty million, six thousand, five hundred thirty-seven".