1151357409657 has 144 divisors (see below), whose sum is σ = 2196116045760. Its totient is φ = 574544565504.

The previous prime is 1151357409637. The next prime is 1151357409679. The reversal of 1151357409657 is 7569047531511.

1151357409657 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 574 + 0 + 9 + 65 + 7 = 666.

It is not a de Polignac number, because 1151357409657 - 2⁶ = 1151357409593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1151357409637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82450758 + ... + 82464720.

Almost surely, 2^{1151357409657} is an apocalyptic number.

It is an amenable number.

1151357409657 is a deficient number, since it is larger than the sum of its proper divisors (1044758636103).

1151357409657 is a wasteful number, since it uses less digits than its factorization.

1151357409657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 1151357409657 in words is "one trillion, one hundred fifty-one billion, three hundred fifty-seven million, four hundred nine thousand, six hundred fifty-seven".