1157429553921 has 9 divisors (see below), whose sum is σ = 1671847350979. Its totient is φ = 771617550936.

The previous prime is 1157429553901. The next prime is 1157429553977. The reversal of 1157429553921 is 1293559247511.

The square root of 1157429553921 is 1075839.

It is a perfect power (a square), and thus also a powerful number.

1157429553921 is a `hidden beast` number, since 1 + 15 + 7 + 4 + 2 + 95 + 539 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 436689680625 + 720739873296 = 660825^2 + 848964^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1157429553921 - 2²⁷ = 1157295336193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157429553901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3048211 + ... + 3406823.

Almost surely, 2^{1157429553921} is an apocalyptic number.

1157429553921 is the 1075839-th square number.

1157429553921 is the 537920-th centered octagonal number.

It is an amenable number.

1157429553921 is a deficient number, since it is larger than the sum of its proper divisors (514417797058).

1157429553921 is an frugal number, since it uses more digits than its factorization.

1157429553921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717232 (or 358616 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 1157429553921 in words is "one trillion, one hundred fifty-seven billion, four hundred twenty-nine million, five hundred fifty-three thousand, nine hundred twenty-one".