257939692371001 has 9 divisors (see below), whose sum is σ = 258248245599981. Its totient is φ = 257631507417312.

The previous prime is 257939692370993. The next prime is 257939692371061. The reversal of 257939692371001 is 100173296939752.

The square root of 257939692371001 is 16060501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3097420482601 + 254842271888400 = 1759949^2 + 15963780^2 .

It is not a de Polignac number, because 257939692371001 - 2³ = 257939692370993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257939692371061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14085050221 + ... + 14085068533.

It is an arithmetic number, because the mean of its divisors is an integer number (28694249511109).

Almost surely, 2^{257939692371001} is an apocalyptic number.

257939692371001 is the 16060501-st square number.

257939692371001 is the 8030251-st centered octagonal number.

It is an amenable number.

257939692371001 is a deficient number, since it is larger than the sum of its proper divisors (308553228980).

257939692371001 is an frugal number, since it uses more digits than its factorization.

257939692371001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38380 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 64.

The spelling of 257939692371001 in words is "two hundred fifty-seven trillion, nine hundred thirty-nine billion, six hundred ninety-two million, three hundred seventy-one thousand, one".