1813257216 has 66 divisors (see below), whose sum is σ = 5235767472. Its totient is φ = 604416000.

The previous prime is 1813257211. The next prime is 1813257221. The reversal of 1813257216 is 6127523181.

1813257216 is a `hidden beast` number, since 1 + 81 + 3 + 2 + 572 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1813257211) and next prime (1813257221).

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 (1813257211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89160 + ... + 107591.

Almost surely, 2^1813257216 is an apocalyptic number.

1813257216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1813257216 is an abundant number, since it is smaller than the sum of its proper divisors (3422510256).

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

1813257216 is a wasteful number, since it uses less digits than its factorization.

1813257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196777 (or 196756 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1813257216 is about 42582.3580371026. The cubic root of 1813257216 is about 1219.4195070496.

The spelling of 1813257216 in words is "one billion, eight hundred thirteen million, two hundred fifty-seven thousand, two hundred sixteen".