1375954806121 has 45 divisors (see below), whose sum is σ = 1652294771799. Its totient is φ = 1145740840272.

The previous prime is 1375954806013. The next prime is 1375954806143. The reversal of 1375954806121 is 1216084595731.

The square root of 1375954806121 is 1173011.

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., 1231223256025 + 144731550096 = 1109605^2 + 380436^2 .

It is not a de Polignac number, because 1375954806121 - 2²¹ = 1375952708969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1375954806151) 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 44 ways as a sum of consecutive naturals, for example, 2126668620 + ... + 2126669266.

It is a 1-persistent number, because it is pandigital, but 2⋅1375954806121 = 2751909612242 is not.

Almost surely, 2^{1375954806121} is an apocalyptic number.

1375954806121 is the 1173011-st square number.

1375954806121 is the 586506-th centered octagonal number.

It is an amenable number.

1375954806121 is a deficient number, since it is larger than the sum of its proper divisors (276339965678).

1375954806121 is an frugal number, since it uses more digits than its factorization.

1375954806121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 1375954806121 in words is "one trillion, three hundred seventy-five billion, nine hundred fifty-four million, eight hundred six thousand, one hundred twenty-one".