1257305317632 has 720 divisors, whose sum is σ = 4659742447360. Its totient is φ = 328326856704.

The previous prime is 1257305317613. The next prime is 1257305317651. The reversal of 1257305317632 is 2367135037521.

1257305317632 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 0 + 5 + 3 + 1 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1257305317613) and next prime (1257305317651).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194355294 + ... + 194361762.

Almost surely, 2^{1257305317632} is an apocalyptic number.

1257305317632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257305317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329871223680).

1257305317632 is an abundant number, since it is smaller than the sum of its proper divisors (3402437129728).

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

1257305317632 is a wasteful number, since it uses less digits than its factorization.

1257305317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 1257305317632 in words is "one trillion, two hundred fifty-seven billion, three hundred five million, three hundred seventeen thousand, six hundred thirty-two".