1257908089 has 9 divisors (see below), whose sum is σ = 1303846063. Its totient is φ = 1213538872.

The previous prime is 1257908083. The next prime is 1257908117. The reversal of 1257908089 is 9808097521.

The square root of 1257908089 is 35467.

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., 659616489 + 598291600 = 25683^2 + 24460^2 .

It is not a de Polignac number, because 1257908089 - 2¹⁵ = 1257875321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257908083) 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, 1027932 + ... + 1029154.

Almost surely, 2^1257908089 is an apocalyptic number.

1257908089 is the 35467-th square number.

1257908089 is the 17734-th centered octagonal number.

It is an amenable number.

1257908089 is a deficient number, since it is larger than the sum of its proper divisors (45937974).

1257908089 is an frugal number, since it uses more digits than its factorization.

1257908089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The cubic root of 1257908089 is about 1079.4842327520.

Multiplying 1257908089 by its sum of digits (49), we get a square (61637496361 = 248269²).

The spelling of 1257908089 in words is "one billion, two hundred fifty-seven million, nine hundred eight thousand, eighty-nine".