249534210852 has 36 divisors (see below), whose sum is σ = 630994425516. Its totient is φ = 83148084480.

The previous prime is 249534210791. The next prime is 249534210859. The reversal of 249534210852 is 258012435942.

249534210852 is a `hidden beast` number, since 2 + 4 + 9 + 534 + 2 + 108 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24653396196 + 224880814656 = 157014^2 + 474216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×249534210852³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249534210798 and 249534210807.

It is not an unprimeable number, because it can be changed into a prime (249534210859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1148049 + ... + 1347992.

It is an arithmetic number, because the mean of its divisors is an integer number (17527622931).

Almost surely, 2^249534210852 is an apocalyptic number.

It is an amenable number.

249534210852 is an abundant number, since it is smaller than the sum of its proper divisors (381460214664).

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

249534210852 is a wasteful number, since it uses less digits than its factorization.

249534210852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498828 (or 2498823 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 249534210852 in words is "two hundred forty-nine billion, five hundred thirty-four million, two hundred ten thousand, eight hundred fifty-two".