61167677041 has 9 divisors (see below), whose sum is σ = 61761216321. Its totient is φ = 60579795024.

The previous prime is 61167677029. The next prime is 61167677071. The reversal of 61167677041 is 14077676116.

The square root of 61167677041 is 247321.

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 8194051441 + 52973625600 = 90521^2 + 230160^2 .

It is not a de Polignac number, because 61167677041 - 2⁵ = 61167677009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61167676982 and 61167677000.

It is not an unprimeable number, because it can be changed into a prime (61167677071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26956855 + ... + 26959123.

It is an arithmetic number, because the mean of its divisors is an integer number (6862357369).

Almost surely, 2^61167677041 is an apocalyptic number.

61167677041 is the 247321-st square number.

61167677041 is the 123661-st centered octagonal number.

It is an amenable number.

61167677041 is a deficient number, since it is larger than the sum of its proper divisors (593539280).

61167677041 is an frugal number, since it uses more digits than its factorization.

61167677041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 61167677041 in words is "sixty-one billion, one hundred sixty-seven million, six hundred seventy-seven thousand, forty-one".