61001105611355 has 64 divisors (see below), whose sum is σ = 90459299024640. Its totient is φ = 38455325558784.

The previous prime is 61001105611349. The next prime is 61001105611393. The reversal of 61001105611355 is 55311650110016.

It is a cyclic number.

It is not a de Polignac number, because 61001105611355 - 2²² = 61001101417051 is a prime.

It is a super-2 number, since 2×61001105611355² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 160921181 + ... + 161299809.

It is an arithmetic number, because the mean of its divisors is an integer number (1413426547260).

Almost surely, 2^{61001105611355} is an apocalyptic number.

61001105611355 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61001105611355 is a deficient number, since it is larger than the sum of its proper divisors (29458193413285).

61001105611355 is a wasteful number, since it uses less digits than its factorization.

61001105611355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380088.

The product of its (nonzero) digits is 13500, while the sum is 35.

The spelling of 61001105611355 in words is "sixty-one trillion, one billion, one hundred five million, six hundred eleven thousand, three hundred fifty-five".