1005125301 has 16 divisors (see below), whose sum is σ = 1523705920. Its totient is φ = 654499440.

The previous prime is 1005125299. The next prime is 1005125321. The reversal of 1005125301 is 1035215001.

1005125301 is a `hidden beast` number, since 100 + 512 + 53 + 0 + 1 = 666.

It is not a de Polignac number, because 1005125301 - 2¹ = 1005125299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005125321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431710 + ... + 434031.

It is an arithmetic number, because the mean of its divisors is an integer number (95231620).

Almost surely, 2^1005125301 is an apocalyptic number.

It is an amenable number.

1005125301 is a deficient number, since it is larger than the sum of its proper divisors (518580619).

1005125301 is an equidigital number, since it uses as much as digits as its factorization.

1005125301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865793 (or 865787 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005125301 is about 31703.7111550052. The cubic root of 1005125301 is about 1001.7055232036.

The spelling of 1005125301 in words is "one billion, five million, one hundred twenty-five thousand, three hundred one".