1825314264 has 80 divisors (see below), whose sum is σ = 5135506200. Its totient is φ = 605708928.

The previous prime is 1825314241. The next prime is 1825314269. The reversal of 1825314264 is 4624135281.

It is a happy number.

1825314264 is a `hidden beast` number, since 1 + 82 + 5 + 314 + 264 = 666.

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 (1825314269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140892 + ... + 153300.

Almost surely, 2^1825314264 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 1825314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567753100).

1825314264 is an abundant number, since it is smaller than the sum of its proper divisors (3310191936).

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

1825314264 is a wasteful number, since it uses less digits than its factorization.

1825314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12641 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1825314264 is about 42723.6967501643. The cubic root of 1825314264 is about 1222.1163356251.

The spelling of 1825314264 in words is "one billion, eight hundred twenty-five million, three hundred fourteen thousand, two hundred sixty-four".