61187954886529 has 9 divisors (see below), whose sum is σ = 61236530611137. Its totient is φ = 61139417682564.

The previous prime is 61187954886523. The next prime is 61187954886533. The reversal of 61187954886529 is 92568845978116.

The square root of 61187954886529 is 7822273.

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

61187954886529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61187954886529 - 2⁹ = 61187954886017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61187954886523) 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, 13759375984 + ... + 13759380430.

It is an arithmetic number, because the mean of its divisors is an integer number (6804058956793).

Almost surely, 2^{61187954886529} is an apocalyptic number.

61187954886529 is the 7822273-rd square number.

61187954886529 is the 3911137-th centered octagonal number.

It is an amenable number.

61187954886529 is a deficient number, since it is larger than the sum of its proper divisors (48575724608).

61187954886529 is an frugal number, since it uses more digits than its factorization.

61187954886529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 6206 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 79.

The spelling of 61187954886529 in words is "sixty-one trillion, one hundred eighty-seven billion, nine hundred fifty-four million, eight hundred eighty-six thousand, five hundred twenty-nine".