1257133416 has 128 divisors (see below), whose sum is σ = 3998592000. Its totient is φ = 326504640.

The previous prime is 1257133373. The next prime is 1257133429. The reversal of 1257133416 is 6143317521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83611 + ... + 97493.

It is an arithmetic number, because the mean of its divisors is an integer number (31239000).

Almost surely, 2^1257133416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999296000).

1257133416 is an abundant number, since it is smaller than the sum of its proper divisors (2741458584).

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

1257133416 is a wasteful number, since it uses less digits than its factorization.

1257133416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13924 (or 13906 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 1257133416 is about 35456.0772787966. The cubic root of 1257133416 is about 1079.2625898989.

The spelling of 1257133416 in words is "one billion, two hundred fifty-seven million, one hundred thirty-three thousand, four hundred sixteen".