1349735091961 has 3 divisors (see below), whose sum is σ = 1349736253743. Its totient is φ = 1349733930180.

The previous prime is 1349735091953. The next prime is 1349735091973. The reversal of 1349735091961 is 1691905379431.

The square root of 1349735091961 is 1161781.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1224716275561 + 125018816400 = 1106669^2 + 353580^2 .

It is not a de Polignac number, because 1349735091961 - 2³ = 1349735091953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1349735091896 and 1349735091905.

It is not an unprimeable number, because it can be changed into a prime (1349735091941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 580891 + ... + 1742671.

It is an arithmetic number, because the mean of its divisors is an integer number (449912084581).

Almost surely, 2^{1349735091961} is an apocalyptic number.

1349735091961 is the 1161781-st square number.

1349735091961 is the 580891-st centered octagonal number.

It is an amenable number.

1349735091961 is a deficient number, since it is larger than the sum of its proper divisors (1161782).

1349735091961 is an frugal number, since it uses more digits than its factorization.

1349735091961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323562 (or 1161781 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 58.

The spelling of 1349735091961 in words is "one trillion, three hundred forty-nine billion, seven hundred thirty-five million, ninety-one thousand, nine hundred sixty-one".