1613625120 has 72 divisors (see below), whose sum is σ = 5506500636. Its totient is φ = 430299648.

The previous prime is 1613625073. The next prime is 1613625133. The reversal of 1613625120 is 215263161.

1613625120 is a `hidden beast` number, since 1 + 6 + 13 + 625 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1413459216 + 200165904 = 37596^2 + 14148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558847 + ... + 561726.

Almost surely, 2^1613625120 is an apocalyptic number.

1613625120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1613625120 is an abundant number, since it is smaller than the sum of its proper divisors (3892875516).

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

1613625120 is a wasteful number, since it uses less digits than its factorization.

1613625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120594 (or 1120583 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1613625120 is about 40169.9529499351. The cubic root of 1613625120 is about 1172.9177232689.

Adding to 1613625120 its reverse (215263161), we get a palindrome (1828888281).

The spelling of 1613625120 in words is "one billion, six hundred thirteen million, six hundred twenty-five thousand, one hundred twenty".