249913122025 has 96 divisors (see below), whose sum is σ = 368274428928. Its totient is φ = 164706048000.

The previous prime is 249913122013. The next prime is 249913122077. The reversal of 249913122025 is 520221319942.

It is a happy number.

It is not a de Polignac number, because 249913122025 - 2⁷ = 249913121897 is a prime.

It is a super-3 number, since 3×249913122025³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106299600 + ... + 106301950.

It is an arithmetic number, because the mean of its divisors is an integer number (3836191968).

Almost surely, 2^249913122025 is an apocalyptic number.

249913122025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249913122025 is a deficient number, since it is larger than the sum of its proper divisors (118361306903).

249913122025 is a wasteful number, since it uses less digits than its factorization.

249913122025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 249913122025 in words is "two hundred forty-nine billion, nine hundred thirteen million, one hundred twenty-two thousand, twenty-five".