513214211225 has 48 divisors (see below), whose sum is σ = 681380674560. Its totient is φ = 382294080000.

The previous prime is 513214211219. The next prime is 513214211269. The reversal of 513214211225 is 522112412315.

It is not a de Polignac number, because 513214211225 - 2³⁸ = 238336304281 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42616205 + ... + 42628245.

It is an arithmetic number, because the mean of its divisors is an integer number (14195430720).

Almost surely, 2^513214211225 is an apocalyptic number.

It is an amenable number.

513214211225 is a deficient number, since it is larger than the sum of its proper divisors (168166463335).

513214211225 is a wasteful number, since it uses less digits than its factorization.

513214211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602 (or 13597 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The spelling of 513214211225 in words is "five hundred thirteen billion, two hundred fourteen million, two hundred eleven thousand, two hundred twenty-five".