1257266595841 has 9 divisors (see below), whose sum is σ = 1284639952899. Its totient is φ = 1230464663904.

The previous prime is 1257266595799. The next prime is 1257266595859. The reversal of 1257266595841 is 1485956627521.

It is a happy number.

The square root of 1257266595841 is 1121279.

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

It can be written as a sum of positive squares in only one way, i.e., 65012250625 + 1192254345216 = 254975^2 + 1091904^2 .

It is not a de Polignac number, because 1257266595841 - 2¹⁵ = 1257266563073 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 1257266595841.

It is not an unprimeable number, because it can be changed into a prime (1257266595941) 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, 52688185 + ... + 52712041.

Almost surely, 2^{1257266595841} is an apocalyptic number.

1257266595841 is the 1121279-th square number.

1257266595841 is the 560640-th centered octagonal number.

It is an amenable number.

1257266595841 is a deficient number, since it is larger than the sum of its proper divisors (27373357058).

1257266595841 is an frugal number, since it uses more digits than its factorization.

1257266595841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47808 (or 23904 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 61.

The spelling of 1257266595841 in words is "one trillion, two hundred fifty-seven billion, two hundred sixty-six million, five hundred ninety-five thousand, eight hundred forty-one".