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1325251251441 = 34136803184999
BaseRepresentation
bin10011010010001111001…
…000010100110011110001
311200200201001000221020000
4103102033020110303301
5133203103310021231
62452451221340213
7164513650526265
oct23221710246361
94620631027200
101325251251441
11471043867137
12194a13b67669
1397c806c0b40
14481dd0560a5
1524715bc76e6
hex1348f214cf1

1325251251441 has 40 divisors (see below), whose sum is σ = 2132305560000. Its totient is φ = 815414944608.

The previous prime is 1325251251437. The next prime is 1325251251451. The reversal of 1325251251441 is 1441521525231.

1325251251441 is a `hidden beast` number, since 1 + 3 + 2 + 52 + 51 + 2 + 514 + 41 = 666.

It is not a de Polignac number, because 1325251251441 - 22 = 1325251251437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1325251251396 and 1325251251405.

It is not an unprimeable number, because it can be changed into a prime (1325251251431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7071060 + ... + 7256058.

It is an arithmetic number, because the mean of its divisors is an integer number (53307639000).

Almost surely, 21325251251441 is an apocalyptic number.

It is an amenable number.

1325251251441 is a deficient number, since it is larger than the sum of its proper divisors (807054308559).

1325251251441 is a wasteful number, since it uses less digits than its factorization.

1325251251441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191827 (or 191818 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 1325251251441 its reverse (1441521525231), we get a palindrome (2766772776672).

The spelling of 1325251251441 in words is "one trillion, three hundred twenty-five billion, two hundred fifty-one million, two hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 6803 20409 61227 88439 183681 184999 265317 551043 554997 795951 1664991 2387853 2404987 4994973 7163559 7214961 14984919 21644883 64934649 194803947 1258548197 3775644591 11326933773 16361126561 33980801319 49083379683 101942403957 147250139049 441750417147 1325251251441