1257305134050 has 324 divisors, whose sum is σ = 4069694565846. Its totient is φ = 277470144000.

The previous prime is 1257305134013. The next prime is 1257305134081. The reversal of 1257305134050 is 504315037521.

1257305134050 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 305 + 1 + 340 + 5 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 89161362801 + 1168143771249 = 298599^2 + 1080807^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1257305133996 and 1257305134014.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 18510150 + ... + 18577950.

Almost surely, 2^{1257305134050} is an apocalyptic number.

1257305134050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257305134050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034847282923).

1257305134050 is an abundant number, since it is smaller than the sum of its proper divisors (2812389431796).

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

1257305134050 is a wasteful number, since it uses less digits than its factorization.

1257305134050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67891 (or 67847 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 1257305134050 in words is "one trillion, two hundred fifty-seven billion, three hundred five million, one hundred thirty-four thousand, fifty".