513729129001 has 27 divisors (see below), whose sum is σ = 590504547927. Its totient is φ = 446563296960.

The previous prime is 513729128987. The next prime is 513729129013. The reversal of 513729129001 is 100921927315.

The square root of 513729129001 is 716749.

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., 201668355625 + 312060773376 = 449075^2 + 558624^2 .

It is not a de Polignac number, because 513729129001 - 2⁹ = 513729128489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513729129031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181336081 + ... + 181338913.

Almost surely, 2^513729129001 is an apocalyptic number.

513729129001 is the 716749-th square number.

513729129001 is the 358375-th centered octagonal number.

It is an amenable number.

513729129001 is a deficient number, since it is larger than the sum of its proper divisors (76775418926).

513729129001 is an frugal number, since it uses more digits than its factorization.

513729129001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 513729129001 in words is "five hundred thirteen billion, seven hundred twenty-nine million, one hundred twenty-nine thousand, one".