63506125465461 has 16 divisors (see below), whose sum is σ = 107523598672000. Its totient is φ = 36289214551584.

The previous prime is 63506125465417. The next prime is 63506125465483. The reversal of 63506125465461 is 16456452160536.

63506125465461 is a `hidden beast` number, since 6 + 3 + 50 + 6 + 1 + 2 + 5 + 46 + 546 + 1 = 666.

It is not a de Polignac number, because 63506125465461 - 2²⁵ = 63506091911029 is a prime.

It is a super-2 number, since 2×63506125465461² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63506125465398 and 63506125465407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63506125465061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168005622736 + ... + 168005623113.

It is an arithmetic number, because the mean of its divisors is an integer number (6720224917000).

Almost surely, 2^{63506125465461} is an apocalyptic number.

It is an amenable number.

63506125465461 is a deficient number, since it is larger than the sum of its proper divisors (44017473206539).

63506125465461 is a wasteful number, since it uses less digits than its factorization.

63506125465461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336011245865 (or 336011245859 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 63506125465461 in words is "sixty-three trillion, five hundred six billion, one hundred twenty-five million, four hundred sixty-five thousand, four hundred sixty-one".