1325757161700 has 288 divisors, whose sum is σ = 4379988412800. Its totient is φ = 343824445440.

The previous prime is 1325757161683. The next prime is 1325757161723. The reversal of 1325757161700 is 71617575231.

1325757161700 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 571 + 6 + 1 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27026796 + ... + 27075804.

It is an arithmetic number, because the mean of its divisors is an integer number (15208293100).

Almost surely, 2^{1325757161700} is an apocalyptic number.

1325757161700 is a gapful number since it is divisible by the number (10) 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 1325757161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189994206400).

1325757161700 is an abundant number, since it is smaller than the sum of its proper divisors (3054231251100).

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

1325757161700 is a wasteful number, since it uses less digits than its factorization.

1325757161700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49308 (or 49295 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 1325757161700 in words is "one trillion, three hundred twenty-five billion, seven hundred fifty-seven million, one hundred sixty-one thousand, seven hundred".