648419510025 has 81 divisors (see below), whose sum is σ = 1351182497301. Its totient is φ = 296381695680.

The previous prime is 648419510017. The next prime is 648419510111. The reversal of 648419510025 is 520015914846.

The square root of 648419510025 is 805245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 105226925769 + 543192584256 = 324387^2 + 737016^2 .

It is not a de Polignac number, because 648419510025 - 2³ = 648419510017 is a prime.

It is a super-2 number, since 2×648419510025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84546891 + ... + 84554559.

Almost surely, 2^648419510025 is an apocalyptic number.

648419510025 is the 805245-th square number.

648419510025 is the 402623-rd centered octagonal number.

It is an amenable number.

648419510025 is an abundant number, since it is smaller than the sum of its proper divisors (702762987276).

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

648419510025 is an frugal number, since it uses more digits than its factorization.

648419510025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 648419510025 in words is "six hundred forty-eight billion, four hundred nineteen million, five hundred ten thousand, twenty-five".