1375005755753 has 32 divisors (see below), whose sum is σ = 1657476710400. Its totient is φ = 1114297331904.

The previous prime is 1375005755729. The next prime is 1375005755797. The reversal of 1375005755753 is 3575575005731.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1375005755753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1375005755695 and 1375005755704.

It is not an unprimeable number, because it can be changed into a prime (1375005754753) 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 31 ways as a sum of consecutive naturals, for example, 208110176 + ... + 208116782.

It is an arithmetic number, because the mean of its divisors is an integer number (51796147200).

Almost surely, 2^{1375005755753} is an apocalyptic number.

It is an amenable number.

1375005755753 is a deficient number, since it is larger than the sum of its proper divisors (282470954647).

1375005755753 is a wasteful number, since it uses less digits than its factorization.

1375005755753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549.

The product of its (nonzero) digits is 9646875, while the sum is 53.

The spelling of 1375005755753 in words is "one trillion, three hundred seventy-five billion, five million, seven hundred fifty-five thousand, seven hundred fifty-three".