1864306125 has 160 divisors (see below), whose sum is σ = 3995671680. Its totient is φ = 855360000.

The previous prime is 1864306109. The next prime is 1864306127. The reversal of 1864306125 is 5216034681.

It is a happy number.

1864306125 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 30 + 612 + 5 = 666.

It is not a de Polignac number, because 1864306125 - 2⁴ = 1864306109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1864306125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864306127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2115685 + ... + 2116565.

It is an arithmetic number, because the mean of its divisors is an integer number (24972948).

Almost surely, 2^1864306125 is an apocalyptic number.

1864306125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1864306125 is an abundant number, since it is smaller than the sum of its proper divisors (2131365555).

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

1864306125 is a wasteful number, since it uses less digits than its factorization.

1864306125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1864306125 is about 43177.6113859949. The cubic root of 1864306125 is about 1230.7572671739.

The spelling of 1864306125 in words is "one billion, eight hundred sixty-four million, three hundred six thousand, one hundred twenty-five".