1257328016 has 40 divisors (see below), whose sum is σ = 2800219584. Its totient is φ = 535731840.

The previous prime is 1257327989. The next prime is 1257328019. The reversal of 1257328016 is 6108237521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1257328019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13070 + ... + 51821.

Almost surely, 2^1257328016 is an apocalyptic number.

1257328016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1257328016 is an abundant number, since it is smaller than the sum of its proper divisors (1542891568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1257328016 is a wasteful number, since it uses less digits than its factorization.

1257328016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65079 (or 65073 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1257328016 is about 35458.8214130137. The cubic root of 1257328016 is about 1079.3182757583.

The spelling of 1257328016 in words is "one billion, two hundred fifty-seven million, three hundred twenty-eight thousand, sixteen".