610787577841 has 27 divisors (see below), whose sum is σ = 718532604747. Its totient is φ = 517684809600.

The previous prime is 610787577809. The next prime is 610787577857. The reversal of 610787577841 is 148775787016.

The square root of 610787577841 is 781529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 274266927025 + 336520650816 = 523705^2 + 580104^2 .

It is not a de Polignac number, because 610787577841 - 2⁵ = 610787577809 is a prime.

It is a super-2 number, since 2×610787577841² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 610787577841.

It is not an unprimeable number, because it can be changed into a prime (610787577041) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 530657616 + ... + 530658766.

Almost surely, 2^610787577841 is an apocalyptic number.

610787577841 is the 781529-th square number.

610787577841 is the 390765-th centered octagonal number.

It is an amenable number.

610787577841 is a deficient number, since it is larger than the sum of its proper divisors (107745026906).

610787577841 is an frugal number, since it uses more digits than its factorization.

610787577841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 61.

The spelling of 610787577841 in words is "six hundred ten billion, seven hundred eighty-seven million, five hundred seventy-seven thousand, eight hundred forty-one".