610601151006 has 192 divisors, whose sum is σ = 1662541770240. Its totient is φ = 157339710720.

The previous prime is 610601151001. The next prime is 610601151023. The reversal of 610601151006 is 600151106016.

610601151006 is a `hidden beast` number, since 6 + 1 + 0 + 601 + 1 + 51 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610601151001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122044501 + ... + 122049503.

It is an arithmetic number, because the mean of its divisors is an integer number (8659071720).

Almost surely, 2^610601151006 is an apocalyptic number.

610601151006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 610601151006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831270885120).

610601151006 is an abundant number, since it is smaller than the sum of its proper divisors (1051940619234).

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

610601151006 is a wasteful number, since it uses less digits than its factorization.

610601151006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 610601151006 in words is "six hundred ten billion, six hundred one million, one hundred fifty-one thousand, six".