257072761 has 4 divisors (see below), whose sum is σ = 280443024. Its totient is φ = 233702500.

The previous prime is 257072741. The next prime is 257072773. The reversal of 257072761 is 167270752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257072761 - 2⁵ = 257072729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257072761.

It is not an unprimeable number, because it can be changed into a prime (257072741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11685115 + ... + 11685136.

It is an arithmetic number, because the mean of its divisors is an integer number (70110756).

Almost surely, 2^257072761 is an apocalyptic number.

It is an amenable number.

257072761 is a deficient number, since it is larger than the sum of its proper divisors (23370263).

257072761 is a wasteful number, since it uses less digits than its factorization.

257072761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23370262.

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 257072761 is about 16033.4887345206. The cubic root of 257072761 is about 635.8461128745.

The spelling of 257072761 in words is "two hundred fifty-seven million, seventy-two thousand, seven hundred sixty-one".