1257386560 has 56 divisors (see below), whose sum is σ = 3151753920. Its totient is φ = 476481024.

The previous prime is 1257386551. The next prime is 1257386561. The reversal of 1257386560 is 656837521.

It is a super-3 number, since 3×1257386560³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1257386561) 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, 97324 + ... + 109483.

It is an arithmetic number, because the mean of its divisors is an integer number (56281320).

Almost surely, 2^1257386560 is an apocalyptic number.

1257386560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257386560 is an abundant number, since it is smaller than the sum of its proper divisors (1894367360).

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

1257386560 is a wasteful number, since it uses less digits than its factorization.

1257386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206843 (or 206833 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 1257386560 is about 35459.6469243561. The cubic root of 1257386560 is about 1079.3350273213.

The spelling of 1257386560 in words is "one billion, two hundred fifty-seven million, three hundred eighty-six thousand, five hundred sixty".