1257766225 has 27 divisors (see below), whose sum is σ = 1607891539. Its totient is φ = 975996800.

The previous prime is 1257766219. The next prime is 1257766243. The reversal of 1257766225 is 5226677521.

The square root of 1257766225 is 35465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 903423249 + 354342976 = 30057^2 + 18824^2 .

It is not a de Polignac number, because 1257766225 - 2²¹ = 1255669073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7270239 + ... + 7270411.

Almost surely, 2^1257766225 is an apocalyptic number.

1257766225 is the 35465-th square number.

1257766225 is the 17733-rd centered octagonal number.

It is an amenable number.

1257766225 is a deficient number, since it is larger than the sum of its proper divisors (350125314).

1257766225 is an frugal number, since it uses more digits than its factorization.

1257766225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The cubic root of 1257766225 is about 1079.4436506380.

The spelling of 1257766225 in words is "one billion, two hundred fifty-seven million, seven hundred sixty-six thousand, two hundred twenty-five".