53661261066175 has 96 divisors (see below), whose sum is σ = 79504135409664. Its totient is φ = 35129045952000.

The previous prime is 53661261066139. The next prime is 53661261066191. The reversal of 53661261066175 is 57166016216635.

It is not a de Polignac number, because 53661261066175 - 2¹¹ = 53661261064127 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5063810977 + ... + 5063821573.

It is an arithmetic number, because the mean of its divisors is an integer number (828168077184).

Almost surely, 2^{53661261066175} is an apocalyptic number.

53661261066175 is a deficient number, since it is larger than the sum of its proper divisors (25842874343489).

53661261066175 is a wasteful number, since it uses less digits than its factorization.

53661261066175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 53661261066175 in words is "fifty-three trillion, six hundred sixty-one billion, two hundred sixty-one million, sixty-six thousand, one hundred seventy-five".