601835000256 has 336 divisors, whose sum is σ = 2039328408000. Its totient is φ = 169593274368.

The previous prime is 601835000233. The next prime is 601835000269. The reversal of 601835000256 is 652000538106.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 601835000256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14401600 + ... + 14443328.

Almost surely, 2^601835000256 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 601835000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019664204000).

601835000256 is an abundant number, since it is smaller than the sum of its proper divisors (1437493407744).

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

601835000256 is a wasteful number, since it uses less digits than its factorization.

601835000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41841 (or 41814 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 601835000256 in words is "six hundred one billion, eight hundred thirty-five million, two hundred fifty-six", and thus it is an aban number.