642312605025 has 72 divisors (see below), whose sum is σ = 1415942498880. Its totient is φ = 271041793920.

The previous prime is 642312604991. The next prime is 642312605029. The reversal of 642312605025 is 520506213246.

642312605025 is a `hidden beast` number, since 6 + 4 + 23 + 1 + 2 + 605 + 0 + 25 = 666.

It is not a de Polignac number, because 642312605025 - 2¹³ = 642312596833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642312605029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15664815 + ... + 15705764.

It is an arithmetic number, because the mean of its divisors is an integer number (19665868040).

Almost surely, 2^642312605025 is an apocalyptic number.

642312605025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

642312605025 is an abundant number, since it is smaller than the sum of its proper divisors (773629893855).

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

642312605025 is a wasteful number, since it uses less digits than its factorization.

642312605025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31370615 (or 31370607 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 642312605025 in words is "six hundred forty-two billion, three hundred twelve million, six hundred five thousand, twenty-five".