61677015136135 has 24 divisors (see below), whose sum is σ = 89839386030816. Its totient is φ = 40453992532800.

The previous prime is 61677015136127. The next prime is 61677015136157. The reversal of 61677015136135 is 53163151077616.

61677015136135 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 61677015136135 - 2³ = 61677015136127 is a prime.

It is a super-2 number, since 2×61677015136135² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5472666516 + ... + 5472677785.

It is an arithmetic number, because the mean of its divisors is an integer number (3743307751284).

Almost surely, 2^{61677015136135} is an apocalyptic number.

61677015136135 is a deficient number, since it is larger than the sum of its proper divisors (28162370894681).

61677015136135 is a wasteful number, since it uses less digits than its factorization.

61677015136135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945344343 (or 10945344336 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 61677015136135 in words is "sixty-one trillion, six hundred seventy-seven billion, fifteen million, one hundred thirty-six thousand, one hundred thirty-five".