249999742575 has 576 divisors, whose sum is σ = 560844103680. Its totient is φ = 110084832000.

The previous prime is 249999742549. The next prime is 249999742589. The reversal of 249999742575 is 575247999942.

249999742575 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 9 + 9 + 7 + 42 + 575 = 666.

It is not a de Polignac number, because 249999742575 - 2¹² = 249999738479 is a prime.

Its product of digits (514382400) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4716976249 + ... + 4716976301.

It is an arithmetic number, because the mean of its divisors is an integer number (973687680).

Almost surely, 2^249999742575 is an apocalyptic number.

249999742575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249999742575 is an abundant number, since it is smaller than the sum of its proper divisors (310844361105).

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

249999742575 is a wasteful number, since it uses less digits than its factorization.

249999742575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 249999742575 in words is "two hundred forty-nine billion, nine hundred ninety-nine million, seven hundred forty-two thousand, five hundred seventy-five".