6958724561 has 2 divisors, whose sum is σ = 6958724562. Its totient is φ = 6958724560.

The previous prime is 6958724533. The next prime is 6958724567. The reversal of 6958724561 is 1654278596.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5963700625 + 995023936 = 77225^2 + 31544^2 .

It is a cyclic number.

It is not a de Polignac number, because 6958724561 - 2¹⁴ = 6958708177 is a prime.

It is not a weakly prime, because it can be changed into another prime (6958724567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3479362280 + 3479362281.

It is an arithmetic number, because the mean of its divisors is an integer number (3479362281).

Almost surely, 2^6958724561 is an apocalyptic number.

It is an amenable number.

6958724561 is a deficient number, since it is larger than the sum of its proper divisors (1).

6958724561 is an equidigital number, since it uses as much as digits as its factorization.

6958724561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 53.

The square root of 6958724561 is about 83418.9700308029. The cubic root of 6958724561 is about 1909.1639077901.

The spelling of 6958724561 in words is "six billion, nine hundred fifty-eight million, seven hundred twenty-four thousand, five hundred sixty-one".