13825649052 has 48 divisors (see below), whose sum is σ = 35850638880. Its totient is φ = 4607731584.

The previous prime is 13825649023. The next prime is 13825649081. The reversal of 13825649052 is 25094652831.

13825649052 is a `hidden beast` number, since 1 + 3 + 82 + 564 + 9 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13825649023) and next prime (13825649081).

It is a super-2 number, since 2×13825649052² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825648989 and 13825649007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107598 + ... + 1120010.

It is an arithmetic number, because the mean of its divisors is an integer number (746888310).

Almost surely, 2^13825649052 is an apocalyptic number.

13825649052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13825649052 is an abundant number, since it is smaller than the sum of its proper divisors (22024989828).

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

13825649052 is a wasteful number, since it uses less digits than its factorization.

13825649052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22739 (or 22731 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13825649052 in words is "thirteen billion, eight hundred twenty-five million, six hundred forty-nine thousand, fifty-two".