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53561312541 = 32111361397519
BaseRepresentation
bin110001111000100000…
…001100010100011101
312010020210001121000100
4301320200030110131
51334143144000131
640334500451313
73604204434102
oct617040142435
9163223047010
1053561312541
1120795a67960
12a4696a9b39
135087825859
1428416ccaa9
1515d73637e6
hexc7880c51d

53561312541 has 24 divisors (see below), whose sum is σ = 84461869440. Its totient is φ = 32437468800.

The previous prime is 53561312533. The next prime is 53561312573. The reversal of 53561312541 is 14521316535.

53561312541 is a `hidden beast` number, since 5 + 3 + 561 + 31 + 25 + 41 = 666.

It is not a de Polignac number, because 53561312541 - 23 = 53561312533 is a prime.

It is a super-2 number, since 2×535613125412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53561312496 and 53561312505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53561311541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64021 + ... + 333498.

It is an arithmetic number, because the mean of its divisors is an integer number (3519244560).

Almost surely, 253561312541 is an apocalyptic number.

It is an amenable number.

53561312541 is a deficient number, since it is larger than the sum of its proper divisors (30900556899).

53561312541 is a wasteful number, since it uses less digits than its factorization.

53561312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398897 (or 398894 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 53561312541 in words is "fifty-three billion, five hundred sixty-one million, three hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 99 1361 4083 12249 14971 44913 134739 397519 1192557 3577671 4372709 13118127 39354381 541023359 1623070077 4869210231 5951256949 17853770847 53561312541