658552401 has 48 divisors (see below), whose sum is σ = 1061463312. Its totient is φ = 390873600.

The previous prime is 658552397. The next prime is 658552403. The reversal of 658552401 is 104255856.

658552401 is a `hidden beast` number, since 65 + 8 + 552 + 40 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 311699025 + 346853376 = 17655^2 + 18624^2 .

It is not a de Polignac number, because 658552401 - 2² = 658552397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (658552403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377391 + ... + 379131.

It is an arithmetic number, because the mean of its divisors is an integer number (22113819).

Almost surely, 2^658552401 is an apocalyptic number.

658552401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

658552401 is a deficient number, since it is larger than the sum of its proper divisors (402910911).

658552401 is a wasteful number, since it uses less digits than its factorization.

658552401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 658552401 is about 25662.2758343838. The cubic root of 658552401 is about 870.0217553022.

The spelling of 658552401 in words is "six hundred fifty-eight million, five hundred fifty-two thousand, four hundred one".