361283942761 has 27 divisors (see below), whose sum is σ = 446533409847. Its totient is φ = 291398251200.

The previous prime is 361283942759. The next prime is 361283942867. The reversal of 361283942761 is 167249382163.

It is a happy number.

The square root of 361283942761 is 601069.

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., 281276426025 + 80007516736 = 530355^2 + 282856^2 .

It is not a de Polignac number, because 361283942761 - 2¹ = 361283942759 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 361283942699 and 361283942708.

It is not an unprimeable number, because it can be changed into a prime (361283942731) 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, 71524686 + ... + 71529736.

Almost surely, 2^361283942761 is an apocalyptic number.

361283942761 is the 601069-th square number.

361283942761 is the 300535-th centered octagonal number.

It is an amenable number.

361283942761 is a deficient number, since it is larger than the sum of its proper divisors (85249467086).

361283942761 is an frugal number, since it uses more digits than its factorization.

361283942761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 5075 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 361283942761 in words is "three hundred sixty-one billion, two hundred eighty-three million, nine hundred forty-two thousand, seven hundred sixty-one".