1613257672 has 48 divisors (see below), whose sum is σ = 3325148820. Its totient is φ = 729181440.

The previous prime is 1613257601. The next prime is 1613257673. The reversal of 1613257672 is 2767523161.

It can be written as a sum of positive squares in 6 ways, for example, as 515925796 + 1097331876 = 22714^2 + 33126^2 .

It is not an unprimeable number, because it can be changed into a prime (1613257673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2981722 + ... + 2982262.

Almost surely, 2^1613257672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613257672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662574410).

1613257672 is an abundant number, since it is smaller than the sum of its proper divisors (1711891148).

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

1613257672 is an equidigital number, since it uses as much as digits as its factorization.

1613257672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 609 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 1613257672 is about 40165.3790222375. The cubic root of 1613257672 is about 1172.8286858618.

The spelling of 1613257672 in words is "one billion, six hundred thirteen million, two hundred fifty-seven thousand, six hundred seventy-two".