335013000 has 384 divisors, whose sum is σ = 1267643520. Its totient is φ = 73382400.

The previous prime is 335012933. The next prime is 335013023. The reversal of 335013000 is 310533.

335013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×335013000² = 224467420338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6320974 + ... + 6321026.

It is an arithmetic number, because the mean of its divisors is an integer number (3301155).

Almost surely, 2^335013000 is an apocalyptic number.

335013000 is a gapful number since it is divisible by the number (30) 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 335013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633821760).

335013000 is an abundant number, since it is smaller than the sum of its proper divisors (932630520).

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

335013000 is a wasteful number, since it uses less digits than its factorization.

335013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 335013000 is about 18303.3603472149. The cubic root of 335013000 is about 694.5239394626.

Adding to 335013000 its reverse (310533), we get a palindrome (335323533).

The spelling of 335013000 in words is "three hundred thirty-five million, thirteen thousand".