10519579417561 has 2 divisors, whose sum is σ = 10519579417562. Its totient is φ = 10519579417560.

The previous prime is 10519579417549. The next prime is 10519579417577. The reversal of 10519579417561 is 16571497591501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10264776569161 + 254802848400 = 3203869^2 + 504780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10519579417561 - 2²⁵ = 10519545863129 is a prime.

It is a super-2 number, since 2×10519579417561² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10519579417561.

It is not a weakly prime, because it can be changed into another prime (10519579417261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5259789708780 + 5259789708781.

It is an arithmetic number, because the mean of its divisors is an integer number (5259789708781).

Almost surely, 2^{10519579417561} is an apocalyptic number.

It is an amenable number.

10519579417561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10519579417561 is an equidigital number, since it uses as much as digits as its factorization.

10519579417561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11907000, while the sum is 61.

The spelling of 10519579417561 in words is "ten trillion, five hundred nineteen billion, five hundred seventy-nine million, four hundred seventeen thousand, five hundred sixty-one".