1257405743 has 12 divisors (see below), whose sum is σ = 1419466440. Its totient is φ = 1112197680.

The previous prime is 1257405701. The next prime is 1257405803. The reversal of 1257405743 is 3475047521.

It is not a de Polignac number, because 1257405743 - 2⁶ = 1257405679 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1257405697 and 1257405706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257407743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135953 + ... + 144906.

It is an arithmetic number, because the mean of its divisors is an integer number (118288870).

Almost surely, 2^1257405743 is an apocalyptic number.

1257405743 is a deficient number, since it is larger than the sum of its proper divisors (162060697).

1257405743 is a wasteful number, since it uses less digits than its factorization.

1257405743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280918 (or 280907 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 1257405743 is about 35459.9174138914. The cubic root of 1257405743 is about 1079.3405161607.

The spelling of 1257405743 in words is "one billion, two hundred fifty-seven million, four hundred five thousand, seven hundred forty-three".