610005101000 has 128 divisors (see below), whose sum is σ = 1514163456000. Its totient is φ = 229225651200.

The previous prime is 610005100981. The next prime is 610005101009. The reversal of 610005101000 is 101500016.

It is not an unprimeable number, because it can be changed into a prime (610005101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9266201 + ... + 9331799.

It is an arithmetic number, because the mean of its divisors is an integer number (11829402000).

Almost surely, 2^610005101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610005101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757081728000).

610005101000 is an abundant number, since it is smaller than the sum of its proper divisors (904158355000).

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

610005101000 is a wasteful number, since it uses less digits than its factorization.

610005101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66184 (or 66170 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 610005101000 its reverse (101500016), we get a palindrome (610106601016).

The spelling of 610005101000 in words is "six hundred ten billion, five million, one hundred one thousand".