513153024409 has 9 divisors (see below), whose sum is σ = 515261237023. Its totient is φ = 511053411352.

The previous prime is 513153024341. The next prime is 513153024413. The reversal of 513153024409 is 904420351315.

The square root of 513153024409 is 716347.

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., 33762960009 + 479390064400 = 183747^2 + 692380^2 .

It is not a de Polignac number, because 513153024409 - 2¹³ = 513153016217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513153024509) 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, 192696012 + ... + 192698674.

Almost surely, 2^513153024409 is an apocalyptic number.

513153024409 is the 716347-th square number.

513153024409 is the 358174-th centered octagonal number.

It is an amenable number.

513153024409 is a deficient number, since it is larger than the sum of its proper divisors (2108212614).

513153024409 is an frugal number, since it uses more digits than its factorization.

513153024409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 513153024409 in words is "five hundred thirteen billion, one hundred fifty-three million, twenty-four thousand, four hundred nine".