1540674255121 has 9 divisors (see below), whose sum is σ = 1583486703099. Its totient is φ = 1498989725784.

The previous prime is 1540674255083. The next prime is 1540674255139. The reversal of 1540674255121 is 1215524760451.

It is a happy number.

The square root of 1540674255121 is 1241239.

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., 1378616481025 + 162057774096 = 1174145^2 + 402564^2 .

It is not a de Polignac number, because 1540674255121 - 2⁷ = 1540674254993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540674255181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45909070 + ... + 45942616.

It is an arithmetic number, because the mean of its divisors is an integer number (175942967011).

Almost surely, 2^{1540674255121} is an apocalyptic number.

1540674255121 is the 1241239-th square number.

1540674255121 is the 620620-th centered octagonal number.

It is an amenable number.

1540674255121 is a deficient number, since it is larger than the sum of its proper divisors (42812447978).

1540674255121 is an frugal number, since it uses more digits than its factorization.

1540674255121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67168 (or 33584 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 1540674255121 in words is "one trillion, five hundred forty billion, six hundred seventy-four million, two hundred fifty-five thousand, one hundred twenty-one".