1351167313961 has 16 divisors (see below), whose sum is σ = 1432688712336. Its totient is φ = 1269873801216.

The previous prime is 1351167313933. The next prime is 1351167313963. The reversal of 1351167313961 is 1693137611531.

It can be written as a sum of positive squares in 8 ways, for example, as 260437729561 + 1090729584400 = 510331^2 + 1044380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1351167313961 is a prime.

It is a super-2 number, since 2×1351167313961² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1351167313963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43323005 + ... + 43354181.

It is an arithmetic number, because the mean of its divisors is an integer number (89543044521).

Almost surely, 2^{1351167313961} is an apocalyptic number.

It is an amenable number.

1351167313961 is a deficient number, since it is larger than the sum of its proper divisors (81521398375).

1351167313961 is a wasteful number, since it uses less digits than its factorization.

1351167313961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34748.

The product of its digits is 306180, while the sum is 47.

The spelling of 1351167313961 in words is "one trillion, three hundred fifty-one billion, one hundred sixty-seven million, three hundred thirteen thousand, nine hundred sixty-one".