1825101264 has 80 divisors (see below), whose sum is σ = 5416796160. Its totient is φ = 518709120.

The previous prime is 1825101263. The next prime is 1825101281. The reversal of 1825101264 is 4621015281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825101263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49957 + ... + 78395.

It is an arithmetic number, because the mean of its divisors is an integer number (67709952).

Almost surely, 2^1825101264 is an apocalyptic number.

1825101264 is a gapful number since it is divisible by the number (14) 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 1825101264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708398080).

1825101264 is an abundant number, since it is smaller than the sum of its proper divisors (3591694896).

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

1825101264 is a wasteful number, since it uses less digits than its factorization.

1825101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28648 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1825101264 is about 42721.2039156202. The cubic root of 1825101264 is about 1222.0687966139.

The spelling of 1825101264 in words is "one billion, eight hundred twenty-five million, one hundred one thousand, two hundred sixty-four".