1257493000 has 32 divisors (see below), whose sum is σ = 2942535960. Its totient is φ = 502996800.

The previous prime is 1257492991. The next prime is 1257493049. The reversal of 1257493000 is 3947521.

It can be written as a sum of positive squares in 4 ways, for example, as 756360004 + 501132996 = 27502^2 + 22386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627747 + ... + 629746.

Almost surely, 2^1257493000 is an apocalyptic number.

1257493000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257493000 is an abundant number, since it is smaller than the sum of its proper divisors (1685042960).

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

1257493000 is a wasteful number, since it uses less digits than its factorization.

1257493000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257514 (or 1257500 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1257493000 is about 35461.1477535626. The cubic root of 1257493000 is about 1079.3654823361.

The spelling of 1257493000 in words is "one billion, two hundred fifty-seven million, four hundred ninety-three thousand".