Search a number
-
+
1002530052525 = 352372837127343
BaseRepresentation
bin11101001011010110111…
…00101001100110101101
310112211201001011102002010
432211223130221212231
5112411140143140100
62044320030151433
7132300425562321
oct16455334514655
93484631142063
101002530052525
113571970958a1
12142369352579
13736cc4bab41
143674647b981
151b12892b750
hexe96b7299ad

1002530052525 has 48 divisors (see below), whose sum is σ = 1702927505664. Its totient is φ = 520044353280.

The previous prime is 1002530052523. The next prime is 1002530052529. The reversal of 1002530052525 is 5252500352001.

It is not a de Polignac number, because 1002530052525 - 21 = 1002530052523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002530052492 and 1002530052501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002530052523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7809004 + ... + 7936346.

It is an arithmetic number, because the mean of its divisors is an integer number (35477656368).

Almost surely, 21002530052525 is an apocalyptic number.

1002530052525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002530052525 is a deficient number, since it is larger than the sum of its proper divisors (700397453139).

1002530052525 is a wasteful number, since it uses less digits than its factorization.

1002530052525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130230 (or 130225 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 1002530052525 in words is "one trillion, two billion, five hundred thirty million, fifty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 185 555 925 2775 2837 8511 14185 42555 70925 104969 127343 212775 314907 382029 524845 636715 1574535 1910145 2624225 3183575 4711691 7872675 9550725 14135073 23558455 70675365 117792275 353376825 361272091 1083816273 1806360455 5419081365 9031802275 13367067367 27095406825 40101202101 66835336835 200506010505 334176684175 1002530052525