613221504 has 128 divisors (see below), whose sum is σ = 1959705600. Its totient is φ = 165970944.

The previous prime is 613221503. The next prime is 613221517. The reversal of 613221504 is 405122316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×613221504² = 752081225936044032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613221503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45069 + ... + 57075.

It is an arithmetic number, because the mean of its divisors is an integer number (15310200).

Almost surely, 2^613221504 is an apocalyptic number.

613221504 is a gapful number since it is divisible by the number (64) 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 613221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979852800).

613221504 is an abundant number, since it is smaller than the sum of its proper divisors (1346484096).

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

613221504 is a wasteful number, since it uses less digits than its factorization.

613221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12050 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 613221504 is about 24763.3096334072. The cubic root of 613221504 is about 849.5829575849.

It can be divided in two parts, 61322 and 1504, that added together give a palindrome (62826).

The spelling of 613221504 in words is "six hundred thirteen million, two hundred twenty-one thousand, five hundred four".