1005102501 has 16 divisors (see below), whose sum is σ = 1443805440. Its totient is φ = 618275520.

The previous prime is 1005102481. The next prime is 1005102541. The reversal of 1005102501 is 1052015001.

It is not a de Polignac number, because 1005102501 - 2¹⁰ = 1005101477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005102541) 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 15 ways as a sum of consecutive naturals, for example, 157195 + ... + 163463.

It is an arithmetic number, because the mean of its divisors is an integer number (90237840).

Almost surely, 2^1005102501 is an apocalyptic number.

It is an amenable number.

1005102501 is a deficient number, since it is larger than the sum of its proper divisors (438702939).

1005102501 is a wasteful number, since it uses less digits than its factorization.

1005102501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1005102501 is about 31703.3515736113. The cubic root of 1005102501 is about 1001.6979490041.

Adding to 1005102501 its reverse (1052015001), we get a palindrome (2057117502).

The spelling of 1005102501 in words is "one billion, five million, one hundred two thousand, five hundred one".