10004958261 has 6 divisors (see below), whose sum is σ = 14451606390. Its totient is φ = 6669972168.

The previous prime is 10004958253. The next prime is 10004958277. The reversal of 10004958261 is 16285940001.

10004958261 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 9 + 582 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9866448900 + 138509361 = 99330^2 + 11769^2 .

It is not a de Polignac number, because 10004958261 - 2³ = 10004958253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004958461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555831006 + ... + 555831023.

It is an arithmetic number, because the mean of its divisors is an integer number (2408601065).

Almost surely, 2^10004958261 is an apocalyptic number.

It is an amenable number.

10004958261 is a deficient number, since it is larger than the sum of its proper divisors (4446648129).

10004958261 is a wasteful number, since it uses less digits than its factorization.

10004958261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111662035 (or 1111662032 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10004958261 in words is "ten billion, four million, nine hundred fifty-eight thousand, two hundred sixty-one".