6465971028825 has 864 divisors, whose sum is σ = 16423213847040. Its totient is φ = 2485495756800.

The previous prime is 6465971028823. The next prime is 6465971028859. The reversal of 6465971028825 is 5288201795646.

6465971028825 is a `hidden beast` number, since 6 + 4 + 6 + 597 + 10 + 2 + 8 + 8 + 25 = 666.

It is not a de Polignac number, because 6465971028825 - 2¹ = 6465971028823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6465971028821) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2675204017 + ... + 2675206433.

It is an arithmetic number, because the mean of its divisors is an integer number (19008349360).

Almost surely, 2^{6465971028825} is an apocalyptic number.

It is an amenable number.

6465971028825 is an abundant number, since it is smaller than the sum of its proper divisors (9957242818215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6465971028825 is a wasteful number, since it uses less digits than its factorization.

6465971028825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6465971028825 in words is "six trillion, four hundred sixty-five billion, nine hundred seventy-one million, twenty-eight thousand, eight hundred twenty-five".