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575381414521 = 312244692
BaseRepresentation
bin10000101111101110110…
…01111010001001111001
32001000011022122100001001
420113313121322021321
533411340120231041
61120154312325001
756366326220224
oct10276731721171
92030138570031
10575381414521
11202021898991
129361a0a3761
1342348458c74
141dbc48245bb
15ee788dc131
hex85f767a279

575381414521 has 9 divisors (see below), whose sum is σ = 594565135983. Its totient is φ = 556797967560.

The previous prime is 575381414519. The next prime is 575381414567. The reversal of 575381414521 is 125414183575.

575381414521 = T619343 + T619344 + T619345.

It is a happy number.

The square root of 575381414521 is 758539.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83671926121 + 491709488400 = 289261^2 + 701220^2 .

It is not a de Polignac number, because 575381414521 - 21 = 575381414519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (575381414501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23502475 + ... + 23526943.

It is an arithmetic number, because the mean of its divisors is an integer number (66062792887).

Almost surely, 2575381414521 is an apocalyptic number.

575381414521 is the 758539-th square number.

575381414521 is the 619345-th centered triangular number and also the 379270-th centered octagonal number.

It is an amenable number.

575381414521 is a deficient number, since it is larger than the sum of its proper divisors (19183721462).

575381414521 is an frugal number, since it uses more digits than its factorization.

575381414521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49000 (or 24500 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The spelling of 575381414521 in words is "five hundred seventy-five billion, three hundred eighty-one million, four hundred fourteen thousand, five hundred twenty-one".

Divisors: 1 31 961 24469 758539 23514709 598731961 18560690791 575381414521