613035540 has 288 divisors, whose sum is σ = 2150593536. Its totient is φ = 145566720.

The previous prime is 613035473. The next prime is 613035541. The reversal of 613035540 is 45530316.

613035540 is a `hidden beast` number, since 61 + 30 + 35 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613035541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1958424 + ... + 1958736.

Almost surely, 2^613035540 is an apocalyptic number.

613035540 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 613035540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075296768).

613035540 is an abundant number, since it is smaller than the sum of its proper divisors (1537557996).

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

613035540 is a wasteful number, since it uses less digits than its factorization.

613035540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 613035540 is about 24759.5545194173. The cubic root of 613035540 is about 849.4970681103.

Adding to 613035540 its reverse (45530316), we get a palindrome (658565856).

The spelling of 613035540 in words is "six hundred thirteen million, thirty-five thousand, five hundred forty".