1257325140 has 24 divisors (see below), whose sum is σ = 3520510560. Its totient is φ = 335286688.

The previous prime is 1257325129. The next prime is 1257325159. The reversal of 1257325140 is 415237521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1257325098 and 1257325107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10477650 + ... + 10477769.

It is an arithmetic number, because the mean of its divisors is an integer number (146687940).

Almost surely, 2^1257325140 is an apocalyptic number.

1257325140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257325140 is an abundant number, since it is smaller than the sum of its proper divisors (2263185420).

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

1257325140 is a wasteful number, since it uses less digits than its factorization.

1257325140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20955431 (or 20955429 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1257325140 is about 35458.7808589071. The cubic root of 1257325140 is about 1079.3174528169.

The spelling of 1257325140 in words is "one billion, two hundred fifty-seven million, three hundred twenty-five thousand, one hundred forty".