257032741 has 32 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 193819392.

The previous prime is 257032729. The next prime is 257032757. The reversal of 257032741 is 147230752.

It is a cyclic number.

It is not a de Polignac number, because 257032741 - 2¹⁹ = 256508453 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 (257032541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177900 + ... + 179338.

It is an arithmetic number, because the mean of its divisors is an integer number (10368000).

Almost surely, 2^257032741 is an apocalyptic number.

It is an amenable number.

257032741 is a deficient number, since it is larger than the sum of its proper divisors (74743259).

257032741 is a wasteful number, since it uses less digits than its factorization.

257032741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 257032741 is about 16032.2406730937. The cubic root of 257032741 is about 635.8131158844.

The spelling of 257032741 in words is "two hundred fifty-seven million, thirty-two thousand, seven hundred forty-one".