62625563001 has 9 divisors (see below), whose sum is σ = 90460230991. Its totient is φ = 41749874832.

The previous prime is 62625562969. The next prime is 62625563047. The reversal of 62625563001 is 10036552626.

It is a happy number.

The square root of 62625563001 is 250251.

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

62625563001 is a `hidden beast` number, since 626 + 25 + 5 + 6 + 3 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4146716025 + 58478846976 = 64395^2 + 241824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 62625563001 - 2⁵ = 62625562969 is a prime.

It is a super-2 number, since 2×62625563001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62625563081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 709045 + ... + 792461.

Almost surely, 2^62625563001 is an apocalyptic number.

62625563001 is the 250251-st square number.

62625563001 is the 125126-th centered octagonal number.

It is an amenable number.

62625563001 is a deficient number, since it is larger than the sum of its proper divisors (27834667990).

62625563001 is an frugal number, since it uses more digits than its factorization.

62625563001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166840 (or 83420 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 62625563001 by its sum of digits (36), we get a square (2254520268036 = 1501506²).

The spelling of 62625563001 in words is "sixty-two billion, six hundred twenty-five million, five hundred sixty-three thousand, one".