1146513205053 has 20 divisors (see below), whose sum is σ = 1724187164700. Its totient is φ = 759212315712.

The previous prime is 1146513205049. The next prime is 1146513205087. The reversal of 1146513205053 is 3505023156411.

1146513205053 is a `hidden beast` number, since 1 + 1 + 46 + 513 + 2 + 0 + 50 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 413362842489 + 733150362564 = 642933^2 + 856242^2 .

It is not a de Polignac number, because 1146513205053 - 2² = 1146513205049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1146513204999 and 1146513205017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146513205043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47486200 + ... + 47510337.

It is an arithmetic number, because the mean of its divisors is an integer number (86209358235).

Almost surely, 2^{1146513205053} is an apocalyptic number.

It is an amenable number.

1146513205053 is a deficient number, since it is larger than the sum of its proper divisors (577673959647).

1146513205053 is an equidigital number, since it uses as much as digits as its factorization.

1146513205053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94996698 (or 94996689 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1146513205053 in words is "one trillion, one hundred forty-six billion, five hundred thirteen million, two hundred five thousand, fifty-three".