1257681732 has 48 divisors (see below), whose sum is σ = 3001404672. Its totient is φ = 409743360.

The previous prime is 1257681661. The next prime is 1257681739. The reversal of 1257681732 is 2371867521.

1257681732 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1257681739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168708 + ... + 176004.

It is an arithmetic number, because the mean of its divisors is an integer number (62529264).

Almost surely, 2^1257681732 is an apocalyptic number.

1257681732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1257681732 is an abundant number, since it is smaller than the sum of its proper divisors (1743722940).

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

1257681732 is a wasteful number, since it uses less digits than its factorization.

1257681732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7626 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 1257681732 is about 35463.8087633012. The cubic root of 1257681732 is about 1079.4194788237.

The spelling of 1257681732 in words is "one billion, two hundred fifty-seven million, six hundred eighty-one thousand, seven hundred thirty-two".