Search a number
-
+
1053203643525 = 3521112710052051
BaseRepresentation
bin11110101001101111101…
…01000011110010000101
310201200111120110112211210
433110313311003302011
5114223430113043100
62123500213122033
7136043240155245
oct17246765036205
93650446415753
101053203643525
1137672aaaa820
1215014b929319
1378416981607
1438d9242db25
151c5e24c8c50
hexf537d43c85

1053203643525 has 48 divisors (see below), whose sum is σ = 1914554032128. Its totient is φ = 506623320000.

The previous prime is 1053203643419. The next prime is 1053203643539. The reversal of 1053203643525 is 5253463023501.

It is not a de Polignac number, because 1053203643525 - 212 = 1053203639429 is a prime.

It is a super-2 number, since 2×10532036435252 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4921251 + ... + 5130800.

It is an arithmetic number, because the mean of its divisors is an integer number (39886542336).

Almost surely, 21053203643525 is an apocalyptic number.

1053203643525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053203643525 is a deficient number, since it is larger than the sum of its proper divisors (861350388603).

1053203643525 is a wasteful number, since it uses less digits than its factorization.

1053203643525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052202 (or 10052197 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 1053203643525 in words is "one trillion, fifty-three billion, two hundred three million, six hundred forty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 127 165 275 381 635 825 1397 1905 3175 4191 6985 9525 20955 34925 104775 10052051 30156153 50260255 110572561 150780765 251301275 331717683 552862805 753903825 1276610477 1658588415 2764314025 3829831431 6383052385 8292942075 14042715247 19149157155 31915261925 42128145741 70213576235 95745785775 210640728705 351067881175 1053203643525