535591367265409 has 135 divisors (see below), whose sum is σ = 692176639586793. Its totient is φ = 414211786462656.

The previous prime is 535591367265397. The next prime is 535591367265467. The reversal of 535591367265409 is 904562763195535.

The square root of 535591367265409 is 23142847.

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

It can be written as a sum of positive squares in 4 ways, for example, as 339528642247809 + 196062725017600 = 18426303^2 + 14002240^2 .

It is not a de Polignac number, because 535591367265409 - 2¹³ = 535591367257217 is a prime.

It is a super-2 number, since 2×535591367265409² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (535591367260409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 692873695947 + ... + 692873696719.

Almost surely, 2^{535591367265409} is an apocalyptic number.

535591367265409 is the 23142847-th square number.

535591367265409 is the 11571424-th centered octagonal number.

It is an amenable number.

535591367265409 is a deficient number, since it is larger than the sum of its proper divisors (156585272321384).

535591367265409 is an frugal number, since it uses more digits than its factorization.

535591367265409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 918540000, while the sum is 70.

The spelling of 535591367265409 in words is "five hundred thirty-five trillion, five hundred ninety-one billion, three hundred sixty-seven million, two hundred sixty-five thousand, four hundred nine".