513265153 has 2 divisors, whose sum is σ = 513265154. Its totient is φ = 513265152.

The previous prime is 513265141. The next prime is 513265187. The reversal of 513265153 is 351562315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512026384 + 1238769 = 22628^2 + 1113^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513265153 is a prime.

It is a super-2 number, since 2×513265153² = 526882234568226818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513265253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256632576 + 256632577.

It is an arithmetic number, because the mean of its divisors is an integer number (256632577).

Almost surely, 2^513265153 is an apocalyptic number.

It is an amenable number.

513265153 is a deficient number, since it is larger than the sum of its proper divisors (1).

513265153 is an equidigital number, since it uses as much as digits as its factorization.

513265153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13500, while the sum is 31.

The square root of 513265153 is about 22655.3559451181. The cubic root of 513265153 is about 800.6583918557.

The spelling of 513265153 in words is "five hundred thirteen million, two hundred sixty-five thousand, one hundred fifty-three".