1257869916304 has 45 divisors (see below), whose sum is σ = 2448887454841. Its totient is φ = 625913507840.

The previous prime is 1257869916301. The next prime is 1257869916341. The reversal of 1257869916304 is 4036199687521.

The square root of 1257869916304 is 1121548.

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., 1238368352400 + 19501563904 = 1112820^2 + 139648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257869916301) 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, 1152950799 + ... + 1152951889.

It is a 1-persistent number, because it is pandigital, but 2⋅1257869916304 = 2515739832608 is not.

Almost surely, 2^{1257869916304} is an apocalyptic number.

1257869916304 is the 1121548-th square number.

It is an amenable number.

1257869916304 is a deficient number, since it is larger than the sum of its proper divisors (1191017538537).

1257869916304 is an frugal number, since it uses more digits than its factorization.

1257869916304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 1257869916304 in words is "one trillion, two hundred fifty-seven billion, eight hundred sixty-nine million, nine hundred sixteen thousand, three hundred four".