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2126553125 = 554011697
BaseRepresentation
bin111111011000000…
…1010000000100101
312111012111002110212
41332300022000211
513323344200000
6551003225205
7103461255224
oct17660120045
95435432425
102126553125
119a1424924
124b4218205
1327b756c78
141625dccbb
15c6a5ec35
hex7ec0a025

2126553125 has 24 divisors (see below), whose sum is σ = 2666219976. Its totient is φ = 1696000000.

The previous prime is 2126553119. The next prime is 2126553139. The reversal of 2126553125 is 5213556212.

It can be written as a sum of positive squares in 12 ways, for example, as 1293768961 + 832784164 = 35969^2 + 28858^2 .

It is not a de Polignac number, because 2126553125 - 26 = 2126553061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2126553091 and 2126553100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252277 + ... + 1253973.

It is an arithmetic number, because the mean of its divisors is an integer number (111092499).

Almost surely, 22126553125 is an apocalyptic number.

2126553125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2126553125 is a deficient number, since it is larger than the sum of its proper divisors (539666851).

2126553125 is an frugal number, since it uses more digits than its factorization.

2126553125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2103 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 2126553125 is about 46114.5652153417. The cubic root of 2126553125 is about 1285.9539364416.

The spelling of 2126553125 in words is "two billion, one hundred twenty-six million, five hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 125 401 625 1697 2005 3125 8485 10025 42425 50125 212125 250625 680497 1060625 1253125 3402485 5303125 17012425 85062125 425310625 2126553125