61153827849 has 81 divisors (see below), whose sum is σ = 95250143469. Its totient is φ = 39260236680.

The previous prime is 61153827841. The next prime is 61153827851. The reversal of 61153827849 is 94872835116.

The square root of 61153827849 is 247293.

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

61153827849 is a `hidden beast` number, since 6 + 1 + 1 + 538 + 27 + 84 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 61153827849 - 2³ = 61153827841 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2903040) is a multiple of the sum of its prime factors (252).

It is a junction number, because it is equal to n+sod(n) for n = 61153827795 and 61153827804.

It is not an unprimeable number, because it can be changed into a prime (61153827841) 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 80 ways as a sum of consecutive naturals, for example, 861321484 + ... + 861321554.

Almost surely, 2^61153827849 is an apocalyptic number.

61153827849 is the 247293-rd square number.

61153827849 is the 123647-th centered octagonal number.

It is an amenable number.

61153827849 is a deficient number, since it is larger than the sum of its proper divisors (34096315620).

61153827849 is an frugal number, since it uses more digits than its factorization.

61153827849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 117 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 61153827849 in words is "sixty-one billion, one hundred fifty-three million, eight hundred twenty-seven thousand, eight hundred forty-nine".