601134613500 has 192 divisors, whose sum is σ = 1786758704640. Its totient is φ = 157016358400.

The previous prime is 601134613423. The next prime is 601134613553. The reversal of 601134613500 is 5316431106.

It is a super-2 number, since 2×601134613500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14263459 + ... + 14305541.

It is an arithmetic number, because the mean of its divisors is an integer number (9306034920).

Almost surely, 2^601134613500 is an apocalyptic number.

601134613500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601134613500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893379352320).

601134613500 is an abundant number, since it is smaller than the sum of its proper divisors (1185624091140).

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

601134613500 is a wasteful number, since it uses less digits than its factorization.

601134613500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42301 (or 42289 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 601134613500 in words is "six hundred one billion, one hundred thirty-four million, six hundred thirteen thousand, five hundred".