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1335141125 = 5330373517
BaseRepresentation
bin100111110010100…
…1010001100000101
310110001022012022022
41033211022030011
510213244004000
6340252412525
745041340503
oct11745121405
93401265268
101335141125
1162571a31a
12313177145
131837c0046
14c946b673
157c332585
hex4f94a305

1335141125 has 16 divisors (see below), whose sum is σ = 1667278704. Its totient is φ = 1067457600.

The previous prime is 1335141107. The next prime is 1335141151. The reversal of 1335141125 is 5211415331.

It can be written as a sum of positive squares in 8 ways, for example, as 19918369 + 1315222756 = 4463^2 + 36266^2 .

It is not a de Polignac number, because 1335141125 - 26 = 1335141061 is a prime.

It is a super-3 number, since 3×13351411253 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1335141094 and 1335141103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377867 + ... + 381383.

It is an arithmetic number, because the mean of its divisors is an integer number (104204919).

Almost surely, 21335141125 is an apocalyptic number.

It is an amenable number.

1335141125 is a deficient number, since it is larger than the sum of its proper divisors (332137579).

1335141125 is an equidigital number, since it uses as much as digits as its factorization.

1335141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6559 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 1335141125 is about 36539.5829888629. The cubic root of 1335141125 is about 1101.1396247006.

Adding to 1335141125 its reverse (5211415331), we get a palindrome (6546556456).

The spelling of 1335141125 in words is "one billion, three hundred thirty-five million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 3037 3517 15185 17585 75925 87925 379625 439625 10681129 53405645 267028225 1335141125