1613411772 has 96 divisors (see below), whose sum is σ = 4417104384. Its totient is φ = 448761600.

The previous prime is 1613411747. The next prime is 1613411777. The reversal of 1613411772 is 2771143161.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613411777) 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, 1520122 + ... + 1521182.

It is an arithmetic number, because the mean of its divisors is an integer number (46011504).

Almost surely, 2^1613411772 is an apocalyptic number.

1613411772 is a gapful number since it is divisible by the number (12) 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 1613411772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208552192).

1613411772 is an abundant number, since it is smaller than the sum of its proper divisors (2803692612).

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

1613411772 is a wasteful number, since it uses less digits than its factorization.

1613411772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 1613411772 is about 40167.2972951878. The cubic root of 1613411772 is about 1172.8660279325.

The spelling of 1613411772 in words is "one billion, six hundred thirteen million, four hundred eleven thousand, seven hundred seventy-two".