389461097025 has 768 divisors, whose sum is σ = 1055932416000. Its totient is φ = 135283737600.

The previous prime is 389461097009. The next prime is 389461097161. The reversal of 389461097025 is 520790164983.

It is not a de Polignac number, because 389461097025 - 2⁴ = 389461097009 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 295269316 + ... + 295270634.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912000).

It is a 1-persistent number, because it is pandigital, but 2⋅389461097025 = 778922194050 is not.

Almost surely, 2^389461097025 is an apocalyptic number.

389461097025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

389461097025 is an abundant number, since it is smaller than the sum of its proper divisors (666471318975).

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

389461097025 is a wasteful number, since it uses less digits than its factorization.

389461097025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 389461097025 in words is "three hundred eighty-nine billion, four hundred sixty-one million, ninety-seven thousand, twenty-five".