513163010225 has 48 divisors (see below), whose sum is σ = 680349423600. Its totient is φ = 382602977280.

The previous prime is 513163010219. The next prime is 513163010231. The reversal of 513163010225 is 522010361315.

It is an interprime number because it is at equal distance from previous prime (513163010219) and next prime (513163010231).

It can be written as a sum of positive squares in 24 ways, for example, as 306170768929 + 206992241296 = 553327^2 + 454964^2 .

It is a de Polignac number, because none of the positive numbers 2^k-513163010225 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, 128642531 + ... + 128646519.

It is an arithmetic number, because the mean of its divisors is an integer number (14173946325).

Almost surely, 2^513163010225 is an apocalyptic number.

It is an amenable number.

513163010225 is a deficient number, since it is larger than the sum of its proper divisors (167186413375).

513163010225 is a wasteful number, since it uses less digits than its factorization.

513163010225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 513163010225 in words is "five hundred thirteen billion, one hundred sixty-three million, ten thousand, two hundred twenty-five".