511152063313625 has 16 divisors (see below), whose sum is σ = 641605161025296. Its totient is φ = 406557941670400.

The previous prime is 511152063313559. The next prime is 511152063313721. The reversal of 511152063313625 is 526313360251115.

It can be written as a sum of positive squares in 8 ways, for example, as 25604844775129 + 485547218538496 = 5060123^2 + 22035136^2 .

It is not a de Polignac number, because 511152063313625 - 2¹² = 511152063309529 is a prime.

It is a super-2 number, since 2×511152063313625² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11818523192 + ... + 11818566441.

It is an arithmetic number, because the mean of its divisors is an integer number (40100322564081).

Almost surely, 2^{511152063313625} is an apocalyptic number.

It is an amenable number.

511152063313625 is a deficient number, since it is larger than the sum of its proper divisors (130453097711671).

511152063313625 is a wasteful number, since it uses less digits than its factorization.

511152063313625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23637089821 (or 23637089811 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 511152063313625 in words is "five hundred eleven trillion, one hundred fifty-two billion, sixty-three million, three hundred thirteen thousand, six hundred twenty-five".