10519779783241 has 9 divisors (see below), whose sum is σ = 10532044461421. Its totient is φ = 10507529382124.

The previous prime is 10519779783239. The next prime is 10519779783251. The reversal of 10519779783241 is 14238797791501.

The square root of 10519779783241 is 3243421.

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

It is not a de Polignac number, because 10519779783241 - 2¹ = 10519779783239 is a prime.

It is a super-2 number, since 2×10519779783241² (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 (10519779783251) 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, 4278071070 + ... + 4278073528.

Almost surely, 2^{10519779783241} is an apocalyptic number.

10519779783241 is the 3243421-st square number.

10519779783241 is the 1621711-st centered octagonal number.

It is an amenable number.

10519779783241 is a deficient number, since it is larger than the sum of its proper divisors (12264678180).

10519779783241 is an frugal number, since it uses more digits than its factorization.

10519779783241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 64.

Multiplying 10519779783241 by its sum of digits (64), we get a square (673265906127424 = 25947368²).

The spelling of 10519779783241 in words is "ten trillion, five hundred nineteen billion, seven hundred seventy-nine million, seven hundred eighty-three thousand, two hundred forty-one".