830739279601 has 135 divisors (see below), whose sum is σ = 1137041869803. Its totient is φ = 606368790720.

The previous prime is 830739279569. The next prime is 830739279611. The reversal of 830739279601 is 106972937038.

It is a happy number.

The square root of 830739279601 is 911449.

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

It can be written as a sum of positive squares in only one way, i.e., 159519561201 + 671219718400 = 399399^2 + 819280^2 .

It is not a de Polignac number, because 830739279601 - 2⁵ = 830739279569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830739279611) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9334149165 + ... + 9334149253.

Almost surely, 2^830739279601 is an apocalyptic number.

830739279601 is the 911449-th square number.

830739279601 is the 455725-th centered octagonal number.

It is an amenable number.

830739279601 is a deficient number, since it is larger than the sum of its proper divisors (306302590202).

830739279601 is an frugal number, since it uses more digits than its factorization.

830739279601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 830739279601 in words is "eight hundred thirty billion, seven hundred thirty-nine million, two hundred seventy-nine thousand, six hundred one".