610605513 has 40 divisors (see below), whose sum is σ = 1055416800. Its totient is φ = 348880392.

The previous prime is 610605511. The next prime is 610605533. The reversal of 610605513 is 315506016.

It is a happy number.

610605513 is a `hidden beast` number, since 6 + 1 + 0 + 605 + 51 + 3 = 666.

It is not a de Polignac number, because 610605513 - 2¹ = 610605511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (610605511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60118 + ... + 69536.

It is an arithmetic number, because the mean of its divisors is an integer number (26385420).

Almost surely, 2^610605513 is an apocalyptic number.

610605513 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

610605513 is a deficient number, since it is larger than the sum of its proper divisors (444811287).

610605513 is an frugal number, since it uses more digits than its factorization.

610605513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 610605513 is about 24710.4332823202. The cubic root of 610605513 is about 848.3731341360.

The spelling of 610605513 in words is "six hundred ten million, six hundred five thousand, five hundred thirteen".