1836515542761 has 27 divisors (see below), whose sum is σ = 2660796659703. Its totient is φ = 1220638630320.

The previous prime is 1836515542751. The next prime is 1836515542777. The reversal of 1836515542761 is 1672455156381.

The square root of 1836515542761 is 1355181.

It is a perfect power (a square), and thus also a powerful number.

1836515542761 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 5 + 1 + 554 + 27 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161158088025 + 1675357454736 = 401445^2 + 1294356^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1836515542761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1836515542698 and 1836515542707.

It is not an unprimeable number, because it can be changed into a prime (1836515542721) 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 26 ways as a sum of consecutive naturals, for example, 2264507046 + ... + 2264507856.

Almost surely, 2^{1836515542761} is an apocalyptic number.

1836515542761 is the 1355181-st square number.

1836515542761 is the 677591-st centered octagonal number.

It is an amenable number.

1836515542761 is a deficient number, since it is larger than the sum of its proper divisors (824281116942).

1836515542761 is an frugal number, since it uses more digits than its factorization.

1836515542761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 1371 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 1836515542761 in words is "one trillion, eight hundred thirty-six billion, five hundred fifteen million, five hundred forty-two thousand, seven hundred sixty-one".