610505610 has 128 divisors (see below), whose sum is σ = 1739646720. Its totient is φ = 135168000.

The previous prime is 610505603. The next prime is 610505657. The reversal of 610505610 is 16505016.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 432586 + ... + 433994.

It is an arithmetic number, because the mean of its divisors is an integer number (13590990).

Almost surely, 2^610505610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610505610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869823360).

610505610 is an abundant number, since it is smaller than the sum of its proper divisors (1129141110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

610505610 is a wasteful number, since it uses less digits than its factorization.

610505610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 610505610 is about 24708.4117255642. The cubic root of 610505610 is about 848.3268633211.

The spelling of 610505610 in words is "six hundred ten million, five hundred five thousand, six hundred ten".