1831878333961 has 9 divisors (see below), whose sum is σ = 1983650621589. Its totient is φ = 1690948374336.

The previous prime is 1831878333949. The next prime is 1831878334009. The reversal of 1831878333961 is 1693338781381.

It is a happy number.

The square root of 1831878333961 is 1353469.

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 813999123961 + 1017879210000 = 902219^2 + 1008900^2 .

It is not a de Polignac number, because 1831878333961 - 2¹³ = 1831878325769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1831878333961.

It is not an unprimeable number, because it can be changed into a prime (1831878333931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17543041 + ... + 17647153.

It is an arithmetic number, because the mean of its divisors is an integer number (220405624621).

Almost surely, 2^{1831878333961} is an apocalyptic number.

1831878333961 is the 1353469-th square number.

1831878333961 is the 676735-th centered octagonal number.

It is an amenable number.

1831878333961 is a deficient number, since it is larger than the sum of its proper divisors (151772287628).

1831878333961 is an frugal number, since it uses more digits than its factorization.

1831878333961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208252 (or 104126 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The spelling of 1831878333961 in words is "one trillion, eight hundred thirty-one billion, eight hundred seventy-eight million, three hundred thirty-three thousand, nine hundred sixty-one".