5157000435409 has 9 divisors (see below), whose sum is σ = 5341028229147. Its totient is φ = 4979109248904.

The previous prime is 5157000435383. The next prime is 5157000435473. The reversal of 5157000435409 is 9045340007515.

The square root of 5157000435409 is 2270903.

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

It can be written as a sum of positive squares in only one way, i.e., 2704205935809 + 2452794499600 = 1644447^2 + 1566140^2 .

It is not a de Polignac number, because 5157000435409 - 2⁹ = 5157000434897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5157000435109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65817034 + ... + 65895340.

Almost surely, 2^{5157000435409} is an apocalyptic number.

5157000435409 is the 2270903-rd square number.

5157000435409 is the 1135452-nd centered octagonal number.

It is an amenable number.

5157000435409 is a deficient number, since it is larger than the sum of its proper divisors (184027793738).

5157000435409 is an frugal number, since it uses more digits than its factorization.

5157000435409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156672 (or 78336 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 5157000435409 in words is "five trillion, one hundred fifty-seven billion, four hundred thirty-five thousand, four hundred nine".