7535864993409 has 15 divisors (see below), whose sum is σ = 11257316712147. Its totient is φ = 5023893524688.

The previous prime is 7535864993389. The next prime is 7535864993431. The reversal of 7535864993409 is 9043994685357.

The square root of 7535864993409 is 2745153.

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

7535864993409 is a `hidden beast` number, since 7 + 5 + 3 + 586 + 4 + 9 + 9 + 34 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 457753730625 + 7078111262784 = 676575^2 + 2660472^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7535864993409 is a prime.

It is a super-2 number, since 2×7535864993409² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7535862993409) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24553869 + ... + 24858885.

Almost surely, 2^{7535864993409} is an apocalyptic number.

7535864993409 is the 2745153-rd square number.

7535864993409 is the 1372577-th centered octagonal number.

It is an amenable number.

7535864993409 is a deficient number, since it is larger than the sum of its proper divisors (3721451718738).

7535864993409 is an frugal number, since it uses more digits than its factorization.

7535864993409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610046 (or 305020 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 7535864993409 in words is "seven trillion, five hundred thirty-five billion, eight hundred sixty-four million, nine hundred ninety-three thousand, four hundred nine".