1257113600 has 144 divisors (see below), whose sum is σ = 3194951760. Its totient is φ = 490291200.

The previous prime is 1257113593. The next prime is 1257113609. The reversal of 1257113600 is 63117521.

It is a self number, because there is not a number n which added to its sum of digits gives 1257113600.

It is not an unprimeable number, because it can be changed into a prime (1257113609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201315 + ... + 2201885.

It is an arithmetic number, because the mean of its divisors is an integer number (22187165).

Almost surely, 2^1257113600 is an apocalyptic number.

1257113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597475880).

1257113600 is an abundant number, since it is smaller than the sum of its proper divisors (1937838160).

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

1257113600 is an equidigital number, since it uses as much as digits as its factorization.

1257113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1257113600 is about 35455.7978333587. The cubic root of 1257113600 is about 1079.2569191193.

The spelling of 1257113600 in words is "one billion, two hundred fifty-seven million, one hundred thirteen thousand, six hundred".