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1025084219133 = 313199911395943
BaseRepresentation
bin11101110101010111100…
…01111101111011111101
310121222220212210210020010
432322223301331323331
5113243333030003013
62102530040213433
7134026354045152
oct16725361757375
93558825723203
101025084219133
11365810355007
1214680276a279
13758850ab960
1437885a74229
151b9e8a227c3
hexeeabc7defd

1025084219133 has 32 divisors (see below), whose sum is σ = 1550949621760. Its totient is φ = 597016474560.

The previous prime is 1025084219083. The next prime is 1025084219149. The reversal of 1025084219133 is 3319124805201.

It is not a de Polignac number, because 1025084219133 - 220 = 1025083170557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1025084219091 and 1025084219100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025084219183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36360 + ... + 1432302.

It is an arithmetic number, because the mean of its divisors is an integer number (48467175680).

Almost surely, 21025084219133 is an apocalyptic number.

1025084219133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1025084219133 is a deficient number, since it is larger than the sum of its proper divisors (525865402627).

1025084219133 is a wasteful number, since it uses less digits than its factorization.

1025084219133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396969.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1025084219133 in words is "one trillion, twenty-five billion, eighty-four million, two hundred nineteen thousand, one hundred thirty-three".

Divisors: 1 3 13 19 39 57 247 741 991 2973 12883 18829 38649 56487 244777 734331 1395943 4187829 18147259 26522917 54441777 79568751 344797921 1034393763 1383379513 4150138539 17983933669 26284210747 53951801007 78852632241 341694739711 1025084219133