6958729561 has 27 divisors (see below), whose sum is σ = 8611310397. Its totient is φ = 5605756800.

The previous prime is 6958729559. The next prime is 6958729579. The reversal of 6958729561 is 1659278596.

The square root of 6958729561 is 83419.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2893902025 + 4064827536 = 53795^2 + 63756^2 .

It is not a de Polignac number, because 6958729561 - 2¹ = 6958729559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6958729496 and 6958729505.

It is not an unprimeable number, because it can be changed into a prime (6958724561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9926511 + ... + 9927211.

Almost surely, 2^6958729561 is an apocalyptic number.

6958729561 is the 83419-th square number.

6958729561 is the 41710-th centered octagonal number.

It is an amenable number.

6958729561 is a deficient number, since it is larger than the sum of its proper divisors (1652580836).

6958729561 is an frugal number, since it uses more digits than its factorization.

6958729561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 58.

The cubic root of 6958729561 is about 1909.1643650490.

The spelling of 6958729561 in words is "six billion, nine hundred fifty-eight million, seven hundred twenty-nine thousand, five hundred sixty-one".