249113522952 has 180 divisors, whose sum is σ = 811956532365. Its totient is φ = 71149881600.

The previous prime is 249113522873. The next prime is 249113522989. The reversal of 249113522952 is 259225311942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

249113522952 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 1 + 352 + 295 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249086835396 + 26687556 = 499086^2 + 5166^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=352926.

It is a super-3 number, since 3×249113522952³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249113522898 and 249113522907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88935952 + ... + 88938752.

Almost surely, 2^249113522952 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 249113522952

249113522952 is an abundant number, since it is smaller than the sum of its proper divisors (562843009413).

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

249113522952 is an frugal number, since it uses more digits than its factorization.

249113522952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 2813 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 249113522952 in words is "two hundred forty-nine billion, one hundred thirteen million, five hundred twenty-two thousand, nine hundred fifty-two".