1257921508041 has 45 divisors (see below), whose sum is σ = 2065658390103. Its totient is φ = 762309377280.

The previous prime is 1257921508033. The next prime is 1257921508043. The reversal of 1257921508041 is 1408051297521.

The square root of 1257921508041 is 1121571.

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

1257921508041 is a `hidden beast` number, since 1 + 2 + 57 + 92 + 1 + 508 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442729213641 + 815192294400 = 665379^2 + 902880^2 .

It is not a de Polignac number, because 1257921508041 - 2³ = 1257921508033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1257921508043) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111029865 + ... + 111041193.

Almost surely, 2^{1257921508041} is an apocalyptic number.

1257921508041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1257921508041 is the 1121571-st square number.

1257921508041 is the 560786-th centered octagonal number.

It is an amenable number.

1257921508041 is a deficient number, since it is larger than the sum of its proper divisors (807736882062).

1257921508041 is an frugal number, since it uses more digits than its factorization.

1257921508041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22692 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1257921508041 in words is "one trillion, two hundred fifty-seven billion, nine hundred twenty-one million, five hundred eight thousand, forty-one".