613506000 has 80 divisors (see below), whose sum is σ = 1977962688. Its totient is φ = 163600000.

The previous prime is 613505999. The next prime is 613506043. The reversal of 613506000 is 605316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×613506000² = 752779224072000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45126 + ... + 57125.

Almost surely, 2^613506000 is an apocalyptic number.

613506000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613506000 is an abundant number, since it is smaller than the sum of its proper divisors (1364456688).

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

613506000 is a wasteful number, since it uses less digits than its factorization.

613506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102277 (or 102261 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 613506000 is about 24769.0532721782. The cubic root of 613506000 is about 849.7143215281.

The spelling of 613506000 in words is "six hundred thirteen million, five hundred six thousand".