610053985 has 8 divisors (see below), whose sum is σ = 744066216. Its totient is φ = 480042240.

The previous prime is 610053979. The next prime is 610054019. The reversal of 610053985 is 589350016.

610053985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20729809 + 589324176 = 4553^2 + 24276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 610053985 - 2¹⁷ = 609922913 is a prime.

It is a super-2 number, since 2×610053985² = 744331729228760450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999784 + ... + 1000393.

It is an arithmetic number, because the mean of its divisors is an integer number (93008277).

Almost surely, 2^610053985 is an apocalyptic number.

It is an amenable number.

610053985 is a deficient number, since it is larger than the sum of its proper divisors (134012231).

610053985 is a wasteful number, since it uses less digits than its factorization.

610053985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000243.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 610053985 is about 24699.2709406573. The cubic root of 610053985 is about 848.1176268428.

It can be divided in two parts, 6100539 and 85, that multiplied together give a palindrome (518545815).

The spelling of 610053985 in words is "six hundred ten million, fifty-three thousand, nine hundred eighty-five".