52200466400225 has 144 divisors (see below), whose sum is σ = 77112942122496. Its totient is φ = 34819067289600.

The previous prime is 52200466400219. The next prime is 52200466400231.

52200466400225 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52200466400219) and next prime (52200466400231).

It is not a de Polignac number, because 52200466400225 - 2³² = 52196171432929 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6883876784 + ... + 6883884366.

Almost surely, 2^{52200466400225} is an apocalyptic number.

52200466400225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52200466400225 is a deficient number, since it is larger than the sum of its proper divisors (24912475722271).

52200466400225 is a wasteful number, since it uses less digits than its factorization.

52200466400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 52200466400225 in words is "fifty-two trillion, two hundred billion, four hundred sixty-six million, four hundred thousand, two hundred twenty-five".