249541957 has 6 divisors (see below), whose sum is σ = 290283558. Its totient is φ = 213893064.

The previous prime is 249541951. The next prime is 249541979. The reversal of 249541957 is 759145942.

It can be written as a sum of positive squares in only one way, i.e., 161951076 + 87590881 = 12726^2 + 9359^2 .

It is not a de Polignac number, because 249541957 - 2¹⁹ = 249017669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249541951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2546298 + ... + 2546395.

It is an arithmetic number, because the mean of its divisors is an integer number (48380593).

Almost surely, 2^249541957 is an apocalyptic number.

It is an amenable number.

249541957 is a deficient number, since it is larger than the sum of its proper divisors (40741601).

249541957 is an equidigital number, since it uses as much as digits as its factorization.

249541957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092707 (or 5092700 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 249541957 is about 15796.8970687284. The cubic root of 249541957 is about 629.5755577313.

The spelling of 249541957 in words is "two hundred forty-nine million, five hundred forty-one thousand, nine hundred fifty-seven".