61001006100511 has 16 divisors (see below), whose sum is σ = 62078342287360. Its totient is φ = 59926184938080.

The previous prime is 61001006100479. The next prime is 61001006100547. The reversal of 61001006100511 is 11500160010016.

It is a cyclic number.

It is not a de Polignac number, because 61001006100511 - 2⁵ = 61001006100479 is a prime.

It is a super-2 number, since 2×61001006100511² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001006100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366935170 + ... + 367101376.

It is an arithmetic number, because the mean of its divisors is an integer number (3879896392960).

Almost surely, 2^{61001006100511} is an apocalyptic number.

61001006100511 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

61001006100511 is a deficient number, since it is larger than the sum of its proper divisors (1077336186849).

61001006100511 is a wasteful number, since it uses less digits than its factorization.

61001006100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173734.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 61001006100511 its reverse (11500160010016), we get a palindrome (72501166110527).

The spelling of 61001006100511 in words is "sixty-one trillion, one billion, six million, one hundred thousand, five hundred eleven".