613151280 has 360 divisors, whose sum is σ = 2491081632. Its totient is φ = 132378624.

The previous prime is 613151267. The next prime is 613151317. The reversal of 613151280 is 82151316.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×613151280³ (a number of 27 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1819272 + ... + 1819608.

Almost surely, 2^613151280 is an apocalyptic number.

613151280 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 613151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245540816).

613151280 is an abundant number, since it is smaller than the sum of its proper divisors (1877930352).

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

613151280 is a wasteful number, since it uses less digits than its factorization.

613151280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 613151280 is about 24761.8916886412. The cubic root of 613151280 is about 849.5505259156.

The spelling of 613151280 in words is "six hundred thirteen million, one hundred fifty-one thousand, two hundred eighty".