613139520 has 224 divisors, whose sum is σ = 2322137088. Its totient is φ = 134019072.

The previous prime is 613139503. The next prime is 613139521. The reversal of 613139520 is 25931316.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (613139521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152577 + ... + 156543.

Almost surely, 2^613139520 is an apocalyptic number.

613139520 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 613139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161068544).

613139520 is an abundant number, since it is smaller than the sum of its proper divisors (1708997568).

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

613139520 is a wasteful number, since it uses less digits than its factorization.

613139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 613139520 is about 24761.6542258388. The cubic root of 613139520 is about 849.5450945327.

The spelling of 613139520 in words is "six hundred thirteen million, one hundred thirty-nine thousand, five hundred twenty".