58963980625 has 45 divisors (see below), whose sum is σ = 81080459229. Its totient is φ = 42834330000.

The previous prime is 58963980617. The next prime is 58963980631. The reversal of 58963980625 is 52608936985.

The square root of 58963980625 is 242825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4622776081 + 54341204544 = 67991^2 + 233112^2 .

It is not a de Polignac number, because 58963980625 - 2³ = 58963980617 is a prime.

It is a super-2 number, since 2×58963980625² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66776434 + ... + 66777316.

Almost surely, 2^58963980625 is an apocalyptic number.

58963980625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58963980625 is the 242825-th square number.

58963980625 is the 121413-rd centered octagonal number.

It is an amenable number.

58963980625 is a deficient number, since it is larger than the sum of its proper divisors (22116478604).

58963980625 is an frugal number, since it uses more digits than its factorization.

58963980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 58963980625 in words is "fifty-eight billion, nine hundred sixty-three million, nine hundred eighty thousand, six hundred twenty-five".