163148582025 has 360 divisors, whose sum is σ = 375945625440. Its totient is φ = 69144192000.

The previous prime is 163148582011. The next prime is 163148582033. The reversal of 163148582025 is 520285841361.

163148582025 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 48 + 582 + 0 + 25 = 666.

It is not a de Polignac number, because 163148582025 - 2⁸ = 163148581769 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 71523885 + ... + 71526165.

It is an arithmetic number, because the mean of its divisors is an integer number (1044293404).

Almost surely, 2^163148582025 is an apocalyptic number.

163148582025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163148582025 is an abundant number, since it is smaller than the sum of its proper divisors (212797043415).

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

163148582025 is a wasteful number, since it uses less digits than its factorization.

163148582025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 163148582025 in words is "one hundred sixty-three billion, one hundred forty-eight million, five hundred eighty-two thousand, twenty-five".