10010504961 has 20 divisors (see below), whose sum is σ = 15833611332. Its totient is φ = 6281100288.

The previous prime is 10010504951. The next prime is 10010504969. The reversal of 10010504961 is 16940501001.

10010504961 is digitally balanced in base 3, 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 2 ways, for example, as 7684275600 + 2326229361 = 87660^2 + 48231^2 .

It is not a de Polignac number, because 10010504961 - 2⁵ = 10010504929 is a prime.

It is a super-2 number, since 2×10010504961² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010504969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3633520 + ... + 3636273.

Almost surely, 2^10010504961 is an apocalyptic number.

It is an amenable number.

10010504961 is a deficient number, since it is larger than the sum of its proper divisors (5823106371).

10010504961 is an equidigital number, since it uses as much as digits as its factorization.

10010504961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269822 (or 7269813 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10010504961 in words is "ten billion, ten million, five hundred four thousand, nine hundred sixty-one".