1613456352 has 72 divisors (see below), whose sum is σ = 4594196880. Its totient is φ = 537123840.

The previous prime is 1613456311. The next prime is 1613456353. The reversal of 1613456352 is 2536543161.

1613456352 is a `hidden beast` number, since 1 + 6 + 13 + 4 + 5 + 635 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613456353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 250549 + ... + 256907.

It is an arithmetic number, because the mean of its divisors is an integer number (63808290).

Almost surely, 2^1613456352 is an apocalyptic number.

1613456352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1613456352 is an abundant number, since it is smaller than the sum of its proper divisors (2980740528).

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

1613456352 is a wasteful number, since it uses less digits than its factorization.

1613456352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7245 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1613456352 is about 40167.8522204013. The cubic root of 1613456352 is about 1172.8768302763.

The spelling of 1613456352 in words is "one billion, six hundred thirteen million, four hundred fifty-six thousand, three hundred fifty-two".