10030959474561 has 81 divisors (see below), whose sum is σ = 15289411793929. Its totient is φ = 6336770385792.

The previous prime is 10030959474517. The next prime is 10030959474581. The reversal of 10030959474561 is 16547495903001.

The square root of 10030959474561 is 3167169.

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

10030959474561 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 9 + 5 + 9 + 4 + 74 + 561 = 666.

10030959474561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1021957224561 + 9009002250000 = 1010919^2 + 3001500^2 .

It is not a de Polignac number, because 10030959474561 - 2²⁵ = 10030925920129 is a prime.

It is a super-2 number, since 2×10030959474561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10030959474498 and 10030959474507.

It is not an unprimeable number, because it can be changed into a prime (10030959474581) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43051328101 + ... + 43051328333.

Almost surely, 2^{10030959474561} is an apocalyptic number.

10030959474561 is the 3167169-th square number.

10030959474561 is the 1583585-th centered octagonal number.

It is an amenable number.

10030959474561 is a deficient number, since it is larger than the sum of its proper divisors (5258452319368).

10030959474561 is an frugal number, since it uses more digits than its factorization.

10030959474561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 10030959474561 in words is "ten trillion, thirty billion, nine hundred fifty-nine million, four hundred seventy-four thousand, five hundred sixty-one".