10519001376601 has 9 divisors (see below), whose sum is σ = 10578678890101. Its totient is φ = 10459658698204.

The previous prime is 10519001376589. The next prime is 10519001376607. The reversal of 10519001376601 is 10667310091501.

The square root of 10519001376601 is 3243301.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10519001376601 - 2⁷ = 10519001376473 is a prime.

It is a super-2 number, since 2×10519001376601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10519001376607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 580541820 + ... + 580559938.

Almost surely, 2^{10519001376601} is an apocalyptic number.

10519001376601 is the 3243301-st square number.

10519001376601 is the 1621651-st centered octagonal number.

It is an amenable number.

10519001376601 is a deficient number, since it is larger than the sum of its proper divisors (59677513500).

10519001376601 is an frugal number, since it uses more digits than its factorization.

10519001376601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36596 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 10519001376601 in words is "ten trillion, five hundred nineteen billion, one million, three hundred seventy-six thousand, six hundred one".