61388503506135 has 48 divisors (see below), whose sum is σ = 118836016694304. Its totient is φ = 30222032487552.

The previous prime is 61388503506097. The next prime is 61388503506139. The reversal of 61388503506135 is 53160530588316.

61388503506135 is a `hidden beast` number, since 6 + 1 + 3 + 88 + 50 + 3 + 506 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 61388503506135 - 2¹⁶ = 61388503440599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61388503506139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1943273332 + ... + 1943304921.

It is an arithmetic number, because the mean of its divisors is an integer number (2475750347798).

Almost surely, 2^{61388503506135} is an apocalyptic number.

61388503506135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61388503506135 is a deficient number, since it is larger than the sum of its proper divisors (57447513188169).

61388503506135 is a wasteful number, since it uses less digits than its factorization.

61388503506135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886578286 (or 3886578274 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 61388503506135 in words is "sixty-one trillion, three hundred eighty-eight billion, five hundred three million, five hundred six thousand, one hundred thirty-five".