61135655001003 has 72 divisors (see below), whose sum is σ = 102724192935936. Its totient is φ = 34739788972800.

The previous prime is 61135655000989. The next prime is 61135655001017. The reversal of 61135655001003 is 30010055653116.

61135655001003 is a `hidden beast` number, since 6 + 1 + 135 + 6 + 5 + 500 + 10 + 0 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (61135655000989) and next prime (61135655001017).

It is not a de Polignac number, because 61135655001003 - 2⁵ = 61135655000971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61135655001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462358 + ... + 11587028.

It is an arithmetic number, because the mean of its divisors is an integer number (1426724901888).

Almost surely, 2^{61135655001003} is an apocalyptic number.

61135655001003 is a deficient number, since it is larger than the sum of its proper divisors (41588537934933).

61135655001003 is a wasteful number, since it uses less digits than its factorization.

61135655001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124985 (or 8124965 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 61135655001003 in words is "sixty-one trillion, one hundred thirty-five billion, six hundred fifty-five million, one thousand, three".