1283181264 has 300 divisors, whose sum is σ = 4136302720. Its totient is φ = 382579200.

The previous prime is 1283181259. The next prime is 1283181269. The reversal of 1283181264 is 4621813821.

It is an interprime number because it is at equal distance from previous prime (1283181259) and next prime (1283181269).

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

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

Its product of digits (18432) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283181269) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31297084 + ... + 31297124.

Almost surely, 2^1283181264 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 1283181264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068151360).

1283181264 is an abundant number, since it is smaller than the sum of its proper divisors (2853121456).

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

1283181264 is a wasteful number, since it uses less digits than its factorization.

1283181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1283181264 is about 35821.5195657582. The cubic root of 1283181264 is about 1086.6658106977.

The spelling of 1283181264 in words is "one billion, two hundred eighty-three million, one hundred eighty-one thousand, two hundred sixty-four".